Converting Percents and Decimals

Example #1: 23%
23% means 23 out of 100. We can write this as


23% = 0.23
Example #2: 48%
Let's try another. 48% =

Example #3: 9%
9% =

This can be tougher if the percent is less than 1% or greater than 100%.
Example #4: 0.5%
0.5% =

Example #5: 230%
230% =


We can use place value to help us convert from decimals to percents as well.
Example #6: 0.19
0.19 is read as 19 hundredths. So we can write this as

Now that we have this written as a part out of 100, we have a percent.
0.19 = 19%
Example #7: 0.25
0.25 =

(In examples like this one, be sure not to reduce the fraction.
You want the denominator to be 100 to convert to a percent.)
Example #8: 0.4
0.4 =

Example #9: 1.3
1.3 = 1


Notice that when the decimal is over 1, the percent is over 100%.
Example #10: 0.003
0.003 =

In this example, the decimal is less than 1 one-hundredth.
Therefore, the percent is less than 1.
A Short Cut Now that you have seen why it works, here is the short cut:
To go from percent to decimal, move the decimal two times to the left.
45% = 045 = 0.45
To go from decimal to percent, move the decimal two times to the right.
0.67 = 067 = 67%
Related Links:
Math
Fractions
Factors