How to Solve Percent Problems

Learn how to calculate and solve percent problems using the percent formula.

Step by step guide to solve percent problems

• In each percent problem, we are looking for the base, or part or the percent.
• Use the following equations to find each missing section.
Base $$= \color{black}{Part} \ ÷ \ \color{blue}{Percent}$$
$$\color{ black }{Part} = \color{blue}{Percent} \ ×$$ Base
$$\color{blue}{Percent} = \color{ black }{Part} \ ÷$$ Base

Percent Problems – Example 1:

$$2.5$$ is what percent of $$20$$?

Solution:

In this problem, we are looking for the percent. Use the following equation:
$$\color{blue}{Percent} = \color{ black }{Part} \ ÷$$ Base $$→$$ Percent $$=2.5 \ ÷ \ 20=0.125=12.5\%$$

Percent Problems – Example 2:

$$40$$ is $$10\%$$ of what number?

Solution:

Use the following formula:
Base $$= \color{ black }{Part} \ ÷ \ \color{blue}{Percent}$$ $$→$$ Base $$=40 \ ÷ \ 0.10=400$$
$$40 \ is \ 10\%$$ of $$400$$.

Percent Problems – Example 3:

$$1.2$$ is what percent of $$24$$?

Solution:

In this problem, we are looking for the percent. Use the following equation:
$$\color{blue}{Percent} = \color{ black }{Part} \ ÷$$ Base $$→$$ Percent $$=1.2÷24=0.05=5\%$$

Percent Problems – Example 4:

$$20$$ is $$5\%$$ of what number?

Solution:

Use the following formula:
Base $$= \color{black}{Part} \ ÷ \ \color{blue}{Percent}$$ $$→$$ Base $$=20÷0.05=400$$
$$20$$ is $$5\%$$ of $$400$$.

Exercises for Calculating Percent Problems

Solve each problem.

• $$51$$ is $$340\%$$ of what?
• $$93\%$$ of what number is $$97$$?
• $$27\%$$ of $$142$$ is what number?
• What percent of $$125$$ is $$29.3$$?
• $$60$$ is what percent of $$126$$?
• $$67$$ is $$67\%$$ of what?

• $$\color{blue}{15}$$
• $$\color{blue}{104.3}$$
• $$\color{blue}{38.34}$$
• $$\color{blue}{23.44\%}$$
• $$\color{blue}{47.6\%}$$
• $$\color{blue}{100}$$

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