How to calculate percentage of a number (P% * X = Y ): Calculator - TopicsExpress



          

How to calculate percentage of a number (P% * X = Y ): Calculator 1a is a word problem version of the equation P% * X = Y in 1b so they are solved the same way. For example, how to solve for the percentage of a number: What is 10% of 150? in equation form is 10% * 150 = Y We need to first convert the percentage to an equivalent decimal to do our calculation. Converting a percentage to a decimal we remove the percentage sign and divide by 100 Converting 10% to a decimal; 10% = (10/100) = 0.10 10% * 150 = Y becomes 0.10 * 150 = Y Y = 15 Or, 10% of 150 is 15 Combining the calculations you can get the formula for P% * X = (P/100) * X = Y so 10% * 150 = (10/100) * 150 = 15 2. How to calculate percentage of one number to another, a ratio (Y/X = P%): Calculator 2a is a word problem version of the equation Y/X = P% in 2b so they are solved the same way. This calculation is converting a ratio or fraction to a percentage. For example, how to solve for the percentage of one number to another: 15 is what percent 150? in equation form is 15/150 = P% 15/150 = 0.10 We now need to convert the decimal to an percentage so we end up with a percentage Converting a decimal to a percentage we multiply by 100 and append a percentage sign to the result Converting 0.10 to a percent; 0.10 = (0.10 * 100) = 10% So, 15/150 = 10% Or, 15 is 10% of 150 Combining the calculations you can get the formula for Y/X = ((Y/X) * 100)% = P% so 15/150 = ((15/150) * 100)% = 10% 3. How to calculate a value from the percentage part, a ratio (Y/P% = X): Calculator 3a is a word problem version of the equation Y/P% = X in 3b so they are solved the same way. For example, how to solve for a value when you know what a percentage part is: 15 is 10% what number? in equation form is 15/10% = X We need to first convert the percentage to an equivalent decimal to do our calculation. Converting a percentage to a decimal we remove the percentage sign and divide by 100 Converting 10% to a decimal; 10% = (10/100) = 0.10 15/10% = X becomes 15/0.10 = X X = 150 Or, 15 is 10% of 150 Combining the calculations you can get the formula for Y/P% = Y/(P/100) = X so 15/10% = 15/(10/100) = 150 How to convert a percentage to a decimal: Remove the percentage sign and divide by 100 15.6% becomes 15.6/100 = 0.156 How to convert a decimal to a percentage: Multiply by 100 and append a percentage sign 0.156 becomes 0.156 * 100 = 15.6%
Posted on: Wed, 12 Jun 2013 17:36:31 +0000

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