# How to Convert Percents to Decimals

## (Writing Percents in Decimal Form)

In this section we learn how to write any percent as a decimal. By the end of this section, we'll know how to show that: $9\% = 0.09 \quad \text{and} \quad 76\% = 0.76$ or even: $2.5\% = 0.025 \quad \text{and} \quad 317\% = 3.17$

Knowing how to write percents as decimals will be very important when we learn about percentage increases and decreases as well as reverse percentages, chain percentages and even compound interests.

### Tutorial: How to write percents as decimals

In this tutorial, we learn the method for writing percents as decimals with some examples.

## Exercise 1

Write each of the following percents as its decimal equivalent:

1. $$36\%$$
2. $$90\%$$
3. $$6\%$$
4. $$128\%$$
5. $$8 \%$$
1. $$29 \%$$
2. $$210\%$$
3. $$2\%$$
4. $$54\%$$
5. $$9\%$$
Note: this exercise can be downloaded as a worksheet to practice with:

## Solution Without Working

We find the following results:

1. $$36\% = 0.36$$
2. $$90\% = 0.9$$
3. $$6\% = 0.06$$
4. $$128\% = 0.128$$
5. $$8 \% = 0.08$$
6. $$29\% = 0.29$$
7. $$210\% = 2.1$$
8. $$2\% = 0.02$$
9. $$54\% = 0.54$$
10. $$9\% = 0.09$$

## Exercise 2

Write each of the following percents as its decimal equivalent:

1. $$2.3\%$$
2. $$10.5 \%$$
3. $$1040 \%$$
4. $$5025 \%$$
5. $$78.2 \%$$
1. $$532.6\%$$
2. $$0.5\%$$
3. $$2003.1\%$$
4. $$0.9\%$$
5. $$7003.6\%$$
Note: this exercise can be downloaded as a worksheet to practice with:

## Solution Without Working

We find the following results:

1. $$2.3\% = 0.023$$
2. $$10.5 \% = 0.105$$
3. $$1040 \% = 10.4$$
4. $$5025 \% = 50.25$$
5. $$78.2 \% = 0.782$$
6. $$532.6\% = 5.326$$
7. $$0.5\% = 0.005$$
8. $$2003.1\% = 20.031$$
9. $$0.9\% = 0.009$$
10. $$7003.6\% = 70.036$$

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