Calculator Use : Calculate the percentage of a number solving the equation P% * X = Y for Y or find the percentage of one number to another solving the equation Y/X = P% for P or find a whole number from a percentage part solving Y/P% = X for X. Change in percentage as an increase or decrease can be calculated using Percentage Change Calculator while percentage conversions can be solved with Decimal to Percent, Percent to Decimal, Fraction to Percent, or Percent to Fraction.
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
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%