Tagr 5 1 0 Percent



Percentage Calculator see examples

% of =
Answer

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Answers are rounded to 7 decimal places.

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  1. Percent: Percent means per 100 or parts per 100. It can be used to describe a portion of a whole or part of a whole. It comes from per cent which is short for per centum which means per hundred. The percent sign is:% 1 percent (1%) = 1 part per 100 = 1/100 = 0.01 (a portion less than a whole).
  2. Profit Margin Calculator This calculator can help you determine the selling price for your products to achieve a desired profit margin. By entering the wholesale cost, and either the markup or gross margin percentage, we calculate the required selling price and gross margin.

Percentage Calculator in Common Phrases: see examples


percent ofis

is what percent of? %

What percent ofis? %

ispercent of what?

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Answers are rounded to 7 decimal places.



Percent Calculator see examples

Percent to Fraction to Decimal
Decimal to Fraction to Percent


Percent Fraction Decimal
% = =

Answers are rounded to 7 decimal places.



Add or Subtract a Percentage see examples

Calculate: tips, sales price, percent off, discounted price, price with sales tax, etc.


Start Value % of Start ValueEnd Value
% =

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Answers are rounded to 7 decimal places.



Percent Change see examples

Percent Increase
Percent Decrease

Use when comparing an old value to a new value or when comparing a start value to an end value.


Start ValueEnd ValuePercent Change
%

A positive answer for percent change represents a percent increase.
A negative answer for percent change represents a percent decrease.


Percent Change = x 100%
(where abs = absolute value)

(Enter values into the blue boxes. Answer will appear in the black box.)
Answers are rounded to 7 decimal places.



Percent Error see examples

Use when comparing a theoretical (known) value to an experimental (measured) value.


Theoretical ValueExperimental ValuePercent Error
%

Percent Error =

Tagr 5 1 0 Percent Equals

abs(Experimental Value - Theoretical Value)abs(Theoretical Value)
x 100%
(where abs = absolute value)

(Enter values into the blue boxes. Answer will appear in the black box.)
Answers are rounded to 7 decimal places.



Percent Difference see examples

Use when comparing two values where neither value is considered a start value or a reference value.


One ValueAnother ValuePercent Difference
%

Note: There is no standard equation for percent difference for all circumstances. The equation used here divides the difference between the two values by the average of the two values (see equation below). Some cases may require you to divide by the minimum of the two values or the maximum of the two values, etc. Please check that the equation used here fits your circumstance.


Equation used:
Percent Difference =
abs(One Value - Another Value)abs((One Value + Another Value)/2)
x 100%
(where abs = absolute value)
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(Enter values into the blue boxes. Answer will appear in the black box.)
Answers are rounded to 7 decimal places.



Definitions:


Percent:

Percent means per 100 or parts per 100. It can be used to describe a portion of a whole or part of a whole. It comes from per cent which is short for per centum which means per hundred.
The percent sign is: %
1 percent (1%) = 1 part per 100 = 1/100 = 0.01 (a portion less than a whole)
100 percent (100%) = 100 parts per 100 = 100/100 = 1 (a portion equal to a whole)
110 percent (110%) = 110 parts per 100 = 110/100 = 1.1 (a portion greater than a whole)


Percentage:

An amount per 100 that refers to a portion of a whole (in a general way) typically without using a specific number.


Percent vs. Percentage

The word percent is typically used with a number (example: 10 percent) while percentage is typically not used with a number (example: what percentage of the marbles are red?). An exception is percentage points (example: 2 percentage points).


Percentage Calculator:

Calculator or tool that uses the percentage formula to solve for a desired value in that formula. The percentage formula contains three variables. If any two of the variables are known, the third variable can be calculated.


Percentage Formula:

Formula used to solve percentage problems that relates two ratios where one of the ratios is a part or portion per 100 and the other ratio is a part or portion per a whole.
Where:
A% of B is C as in: 10% of 90 is 9 where A=10, B=90, C=9
The percentage formula is:
A/100 x B = C as in: 10/100 x 90 = 9
Rearranging:
A100 = CBas in: 10100 = 990
The percentage formula is sometimes expressed as:
percent100 = is(part)of(whole)as in: 10100 = 990
Solving for each of the variables yields:
A = (C / B) x 100 as in: A = (9 / 90) x 100 = 10
B = C / (A / 100) as in: B = 9 / (10 / 100) = 90
C = (A / 100) x B as in: C = (10 / 100) x 90 = 9
Note: A% = A/100 because % means per 100


How are percentages used?

Tagr
  • store discounts: 25 percent off sale
  • sales tax is typically a percentage of purchase price: 8% sales tax
  • interest rates for savings accounts are typically shown as an annual percentage rate (apr): 1.5% apr
  • interest rates charged by credit card companies and mortgage companies are shown as an annual percentage rate.
  • interest rate changes: interest rates rose one percentage point from 4.5% to 5.5%
  • statistics: the margin of error is plus or minus four percentage points
  • credit card rewards: 2% cash back for certain purchases
  • news: approval ratings, employment rate, and surveys can be expressed using percentages
  • laptops, tablets, and cell phones usually have a battery charge percentage indicator
  • weather forecast: 20 percent chance of rain
  • probability: the chance to win a prize is 1 in 10 or 10 percent
  • humidity: the humidity level is 65%

Percentages can be used to make the relationship between a portion and a whole easier to understand.
Anytime you need to solve a percentage problem, the percentage calculator is here to help.

What is mole percent?

1 Answer

Warning! Long Answer. Mole percent is the percentage that the moles of a particular component are of the total moles that are in a mixture.

Explanation:

MOLE FRACTION

Let’s start with the definition of mole fraction.

Mole fraction#chi# (the Greek letter chi) is the number of moles of a given component of a mixture divided by the total number of moles in the mixture.

#n_t = n_a + n_b + n_c + … # , where
#n_t# = total number of moles
#n_a# = moles of component a
#n_b# = moles of component b
#n_c# = moles of component c

The mole fraction of component a is

#chi_a = n_a/n_t#

If a system consists of only two components, one component is the solvent and the other is the solute.

The more abundant component, the solvent, is usually called component 1, and the solute is called component 2.

#chi_1 = n_1/n_t#

#chi_2 = n_2/n_t#, where

#n_t = n_1 + n_2#

The sum of the mole fractions for each component in a solution is equal to 1. For a solution containing two components, solute and solvent,

#chi_1 + chi_2 = 1#

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Mole percent is equal to the mole fraction for the component multiplied by 100 %

mole % a = #chi_a# × 100 %

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The sum of the mole percentages for each component in a solution is equal to 100 %.

For a solution containing two components, solute and solvent,

mole % solute + mole % solvent = 100 %

EXAMPLE

What are the mole fraction and mole percent of sodium chloride and the mole fraction and mole percent of water in an aqueous solution containing 25.0 g water and 5.0 g sodium chloride?

(a) Identify the components making up the solution.

#'NaCl'# is the solute and #'H'_2'O'# is the solvent.

(b) Calculate the moles of each component.

#n_'NaCl' = 5.0 color(red)(cancel(color(black)('g NaCl'))) × '1 mol NaCl'/(58.44 color(red)(cancel(color(black)('g NaCl')))) = '0.086 mol NaCl'#

#n_'H₂O' = 25.0 color(red)(cancel(color(black)('g H'_2'O'))) × ('1 mol H'_2'O')/(18.02 color(red)(cancel(color(black)('g H'_2'O')))) = '1.38 mol H'_2'O'#

(c) Calculate the mole fraction of each component.

Tagr 5 1 0 Percent Calculator

#n_t = n_1 + n_2# = (1.38 + 0.086) mol = 1.46 mol

#chi_2 = n_2/n_t = (0.086 color(red)(cancel(color(black)('mol'))))/(1.46 color(red)(cancel(color(black)('mol')))) = '0.058'#

#chi_1 = n_1/n_t = (1.38 color(red)(cancel(color(black)('mol'))))/(1.46 color(red)(cancel(color(black)('mol')))) = '0.942'#

[Note: We could also have written #chi_1 = 1 – chi_2 = 1 – 0.058 = 0.942#]

(d) Calculate the mole percent of each component.

Mole % 2 = #chi_2 × 100 % = 0.058 × 100 % = '5.8 mole %'#

Mole % 1 = #chi_1 × 100 % = 0.942 × 100 % = '94.2 mole %'#

[Note: We could also have written mole % 1 = 100 – mole % 2 = (100 – 5.8) % = 94.2 mole %]

Summary

#chi_'NaCl' = '0.058; mole % NaCl' = color(white)(ll)'5.8 mole %'#

#chi_'H₂O' = 0.942; color(white)(l)'mole % H'_2'O'color(white)(l) = '94.2 mole %'#

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