2 Percentages and Conversions Free Online FlashCards

What does a percent mean?

A percent means “per hundred”: $37\% = \frac{37}{100}$, or 37 parts out of every 100.

How do you convert a percent to a decimal?

Divide by 100 and remove the percent sign. For example, $42\% = 0.42$.

How do you convert a decimal to a percent?

Multiply by 100 and add a percent sign. For example, $0.065 = 6.5\%$.

How do you convert a fraction to a decimal?

Divide the numerator by the denominator. For example, $\frac{3}{8} = 3 \div 8 = 0.375$.

How do you convert a decimal to a simplified fraction?

Write the decimal over its place-value denominator, then simplify. For example, $0.375 = \frac{375}{1000} = \frac{3}{8}$.

How do you convert a fraction to a percent?

Divide the numerator by the denominator, then multiply by 100. For example, $\frac{3}{8} = 37.5\%$.

How can you report a repeating percentage when a rounded answer is needed?

$\frac{1}{3} = 0.333\ldots = 33.333\ldots\%$. If rounding is needed, state it: to the nearest tenth of a percent, this is $33.3\%$.

How do you find a percentage of a quantity?

Convert the percentage to a decimal and multiply by the whole: $\text{part} = \text{percentage as a decimal} \times \text{whole}$.

What is $15\%$ of 80?

$15\%$ as a decimal is $0.15$, and $0.15 \times 80 = 12$.

How do you find what percentage one quantity is of another?

Divide the part by the whole and multiply by $100\%$: $\text{percentage} = \frac{\text{part}}{\text{whole}} \times 100\%$.

18 is what percentage of 60?

$\frac{18}{60} \times 100\% = 30\%$, so 18 is $30\%$ of 60.

What amount belongs in the denominator when calculating percentage change?

Compare the change with the original amount: $\text{percentage change} = \frac{\text{new amount} - \text{original amount}}{\text{original amount}} \times 100\%$.