Division and Percentages:

Converting Between Decimals and Percentages

The following video will show how to change a decimal into a percent and the other way around. This is important to know when we go into the next section.

Video Source (07:00 mins) | Transcript

When going from a Decimal to a Percent: move the decimal to the RIGHT two places.
When going from a Percent to a Decimal: move the decimal to the LEFT two places.

Additional Resources

Khan Academy: Converting Decimals to Percents (02:35 mins, Transcript)
Khan Academy: Converting Percents to Decimals (01:22 mins, Transcript)

Practice Problems

Write 12% as a decimal.
Write 125% as a decimal.
Convert the decimal 0.35 to a percent.
Convert the decimal 0.0015 to a percent.
Convert the decimal 2.45 to a percent.
Convert 12.3% into a decimal.
Convert 0.92% into a decimal.

Solutions

0.12 (Written Solution)

All percentages are out of 100.

Remove the percent sign and replace it with a decimal point. Include a zero as a place holder.

Move the decimal two places to the left. Include a zero as a place holder.

12% = 0.12
1.25 (Written Solution)

All percentages are out of 100.

Remove the percent sign and replace it with a decimal point. Include a zero as a place holder.

Move the decimal two places to the left.

125% = 1.25
35% (Solution Video | Transcript)
0.15%
245%
0.123 (Solution Video | Transcript)
0.0092