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

1. Write \(12\%\) as a decimal. (
   Solution

   x

   Solution: \(0.12\)
   Details:
   All percentages are out of 100.
   
   \(\displaystyle \stackrel{\text{Percent}}{12\%}\)
   
   Remove the percent sign and replace it with a decimal point. Include a zero as a place holder.
   
   \(\displaystyle 12{\color{red} .0}\)
   
   Move the decimal two places to the left. Include a zero as a place holder.
   
   
   \(12\% = 0.12\)
   )
2. Write \(125\%\) as a decimal. (
   Solution

   x

   Solution: \(1.25\)
   Details:
   All percentages are out of \(100\).
   
   \(\displaystyle \stackrel{\text{Percent}}{125\%}\)
   
   Remove the percent sign and replace it with a decimal point. Include a zero as a place holder.
   
   \(125{\color{red} .0}\)
   
   Move the decimal two places to the left.
   
   
   \(125\% = 1.25\)
   )
3. Convert the decimal \(0.35\) to a percent. (
   Video Solution

   x

   Solution: \(35\%\)
   Details:
   

   
   (Video Source | Transcript)
   )
4. Convert the decimal \(0.0015\) to a percent. (
   Solution

   x

   Solution:
   \(0.15\%\)
   )
5. Convert the decimal \(2.45\) to a percent. (
   Solution

   x

   Solution:
   \(245\%\)
   )
6. Convert \(12.3\%\) into a decimal. (
   Video Solution

   x

   Solution: \(0.123\)
   Details:
   

   
   (Video Source | Transcript)
   )
7. Convert \(0.92\%\) into a decimal. (
   Solution

   x

   Solution:
   \(0.0092\)
   )

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