Converting decimals and percents review

CCSS Math: 6.RP.A.3c
Review writing decimals as percents and percents as decimals.  Then, try some practice problems.

What does percent mean?

Percent means 'per hundred.' So, we can replace a percent sign with 'per hundred.'
Example:
$35\%=35\text{ per hundred}=\dfrac{35}{100}$

Writing percents as decimals

To write a percent as a decimal, we divide the percent by $100$.
Example 1
Let's convert $42\%$ to a decimal:
$42\%=42\text{ per hundred}=\dfrac{42}{100}$
$\dfrac{42}{100}=42\div100=0.42$
$42\%=0.42$
Example 2
Let's convert $370\%$ to a decimal:
$370\%=370\text{ per hundred}=\dfrac{370}{100}$
$\dfrac{370}{100}=370\div100=3.7$
$370\%=3.7$

Practice

Problem 1A
Express the percent as a decimal.
$92\%$

Want to try more problems like this? Check out this exercise.

Writing decimals as percents

To write a decimal as a percent, we multiply the decimal by $100$.
Example 1
Let's convert $0.03$ to a percent:
$0.03\times100=3$
$0.03=3\%$
Example 2
Let's convert $5.8$ to a percent:
$5.8\times100=580$
$5.8=580\%$
$0.31$
$\%$