| 1% | 0.01 | 1/100 |
| 5% | 0.05 | 1/20 |
| 10% | 0.1 | 1/10 |
| 12½% | 0.125 | 1/8 |
| 20% | 0.2 | 1/5 |
| 25% | 0.25 | 1/4 |
| 331/3% | 0.333... | 1/3 |
| 50% | 0.5 | 1/2 |
| 75% | 0.75 | 3/4 |
| 80% | 0.8 | 4/5 |
| 90% | 0.9 | 9/10 |
| 99% | 0.99 | 99/100 |
| 100% | 1 | |
| 125% | 1.25 | 5/4 |
| 150% | 1.5 | 3/2 |
| 200% | 2 |
You are watching: What is one third as a percent
Conversions!
From Percent to DecimalTo convert from percent to decimal division by 100 and also remove the % sign.
An easy method to division by 100 is to move the decimal suggest 2 areas to the left:
| From Percent | To Decimal | |
 | relocate the decimal suggest 2 places to the left |
Don"t forget to eliminate the % sign!
From Decimal come PercentTo convert from decimal come percent main point by 100%
An easy way to multiply by 100 is to move the decimal point 2 places to the right:
| From Decimal | To Percent | |
 | move the decimal allude 2 areas to the right |
Don"t forget to include the % sign!
From portion to Decimal
To convert a portion to a decimal divide the peak number by the bottom number:
Example: To convert 0.75 to a fraction
| First, write down the decimal "over" the number 1: | 0.751 |
| Multiply top and bottom by 10 because that every number ~ the decimal suggest (10 because that 1 number,100 for 2 numbers, etc): | 0.75 × 1001 × 100 |
| This renders a correctly developed fraction: | 75100 |
| Then leveling the fraction: | 34 |
From fraction to Percentage
To transform a portion to a percentage divide the optimal number through the bottom number, then multiply the result by 100%
Example: convert 38 to a percentage
First division 3 through 8: 3 ÷ 8 = 0.375
Then main point by 100%: 0.375 × 100% = 37.5%
Answer: 38 = 37.5%
From percentage to Fraction
To convert a percent to a fraction, an initial convert come a decimal (divide by 100), then usage the steps for converting decimal to fractions (like above).
Example: To convert 80% to a fraction
| Convert 80% to a decimal (=80/100): | 0.8 |
| Write under the decimal "over" the number 1: | 0.81 |
| Multiply top and also bottom through 10 because that every number after the decimal point (10 because that 1 number,100 for 2 numbers, etc): | 0.8 × 101 × 10 |
| This makes a correctly developed fraction: | 810 |
| Then leveling the fraction: | 45 |
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