Let our unknown quantity be $q$. Then $28\%$ of $q$ is $16000$. In symbols, $$(0.28)q=16000.$$ Divide both sides of the above equation by $0.28$. We get $$q=\frac{16000}{0.28}.$$ Now it is probably best to use a calculator. We get $q\approx 57142.86$. Show
If you prefer, you can think of $28\%$ as $28$ "per centum," meaning out of $100$. So $28\%$ means $\frac{28}{100}$. Thus we could write our equation as $$\frac{28}{100}q=16000.$$ Multiply both sides by $100$, and then divide both sides by $28$. We get $$q=\frac{16000\times 100}{28}.$$ Remark: It is always possible to make mistakes in this sort of calculation, a little slip in algebra, or a calculator keying error. So it is a very good idea to check whether the number you obtained is right. In this case, we do that by finding $28\%$ of our supposed answer of $57142.86$. Added: OP has indicated that the real problem is as follows. Tax is $28\%$. a project pays $16000$ after tax. What is the before tax income from the project? Let $b$ be the before tax income. Then $b$ minus $28\%$ of $b$ is $16000$. That means that $72\%$ of $b$ is $16000$. Using exactly the same reasoning as before, we have $$(0.72)b=16000.$$ Using exactly the same procedure as before, we conclude that $$b=\frac{16000}{0.72}.$$ The calculator gives $b\approx 22222.22$. Cute! Calculator UseFind a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations. How to Calculate PercentagesThere are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula. Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:
Read on to learn more about how to figure percentages. 1. How to calculate percentage of a number. Use the percentage formula: P% * X = YExample: What is 10% of 150?
2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%Example: What percent of 60 is 12?
3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = XExample: 25 is 20% of what number?
Remember: How to convert a percentage to a decimal
Remember: How to convert a decimal to a percentage
Percentage ProblemsThere are nine variations on the three basic problems involving percentages. See if you can match your problem to one of the samples below. The problem formats match the input fields in the calculator above. Formulas and examples are included. What is P percent of X?
Example: What is 10% of 25?
Y is what percent of X?
Example: 12 is what percent of 40?
Y is P percent of what?
Example: 9 is 60% of what?
What percent of X is Y?
Example: What percent of 27 is 6?
P percent of what is Y?
Example: 20% of what is 7?
P percent of X is what?
Example: 5% of 29 is what?
Y of what is P percent?
Example: 4 of what is 12%?
What of X is P percent?
Example: What of 25 is 11%?
Y of X is what percent?
Example: 9 of 13 is what percent?
Related CalculatorsFind the change in percentage as an increase or decrease using the Percentage Change Calculator. Solve decimal to percentage conversions with our Decimal to Percent Calculator. Convert from percentage to decimals with the Percent to Decimal Calculator. If you need to convert between fractions and percents see our Fraction to Percent Calculator, or our Percent to Fraction Calculator. ReferencesWeisstein, Eric W. "Percent." From MathWorld -- A Wolfram Web Resource. Follow CalculatorSoup: |