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- p% of A = ?
- p% of ? = A
- ?% of A = B
- fractions a/b = ?%
- relative change
- p% = ? number
- (1 + p%) × n
- (1 - p%) × n
3/20 as a percent value (as a percentage)
Detailed calculations below
Fractions: brief introduction
A fraction consists of two numbers and the fraction bar:
3/20
The number above the fraction bar is the numerator: 3
The number under the fraction bar is the denominator: 20
To get the fraction's value, divide the numerator by the denominator:
The value = 3 ÷ 20
Percent, p%: short introduction
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% = p/100 = p ÷ 100.
How to convert a fraction to a percentage:
1) Calculate the value of the fraction.
2) Multiply this number by 100.
3) Add the percent sign %
Convert the fraction to a percentage
1. Calculate the value of the fraction.
To get the fraction's value, divide the numerator by the denominator:
3/20 =
3 ÷ 20 =
0.15
A quick note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100
... and its value doesn't change.
n × 100/100 = n × 1 = n, any number n
2. The calculation of the percentage:
0.15 =
0.15 × 100/100 =
(0.15 × 100)/100 =
15/100 =
15%
The answer:
3/20 = 15%
Divide the numerator by the denominator, multiply the result by 100 and add the percent sign %
The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.
The latest 5 numbers, fractions or ratios converted to percentages
Online calculator: convert integer or decimal numbers, fractions, ratios and proportions to percentages
Converting integer or decimal numbers, fractions, proportions and ratios to percentages
It's very simple to write a fraction (a proportion or a ratio) or a decimal number as a percentage.
To convert a fraction:
- - start by dividing the numerator by the denominator
- - then multiply the result by 100%
- By multiplying the result by 100% the value we've got at the previous step is not modified, since 100% = 100/100 = 1
- By multiplying by 100% only the form is being changed - it's written as a percentage.
It's even simpler to write an integer or decimal number as a percentage:
- - simply multiply the number by 100%
Examples
- 1/4 = 0.25 = 0.25 × 100% = (0.25 × 100)% = 25%;
- 7/8 = 0.875 = 0.875 × 100% = (0.875 × 100)% = 87.5%
- 1.3/9.4 ≈ 0.138297 = 0.138297 × 100% = (0.138297 × 100)% = 13.8297%
- 4.3 = 4.3 × 100% = (4.3 × 100)% = 430%;
When you ask "What is 3 out of 20?" you want to know what percent 3 is out of 20.
Here are step-by-step instructions showing you how we calculated 3 out of 20 as a percentage:
The first step is to divide 3 by 20 to get the answer in decimal form:
3 ÷ 20 = 0.1500
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.1500 × 100 = 15.00%
We can prove that the answer is correct by taking 15.00 percent of 20 to get 3:
(20 × 15.00) ÷ 100 = 3
Note that our calculator rounds the answers up to two decimals if necessary. Once again, the answer is as follows:
= 15.00%
Out of as a Percentage Calculator
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What is 3 out of 21 as a percentage?
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3/20*100
= (3*100)/20
= 300/20 = 15
Now we have: 3 is what percent of 20 = 15
Question: 3 is what percent of 20?
Percentage solution with steps:
Step 1: We make the assumption that 20 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 20.
Step 4: In the same vein, x % = 3 .
Step 5: This gives us a pair of simple equations:
100 % = 20(1).
x % = 3(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 20/3
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 3/20
x = 15 %
Therefore, 3 is 15 % of 20.
20/3*100
= (20*100)/3
= 2000/3 = 666.6667
Now we have: 20 is what percent of 3 = 666.6667
Question: 20 is what percent of 3?
Percentage solution with steps:
Step 1: We make the assumption that 3 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 3.
Step 4: In the same vein, x % = 20 .
Step 5: This gives us a pair of simple equations:
100 % = 3(1).
x % = 20(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left
hand side) of both equations have the same unit (%); we have
100 % / x % = 3/20
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 20/3
x = 666.6667 %
Therefore, 20 is 666.6667 % of 3.
1. 3 is what percent of 20?
3 is 15 percent of 20.
2. How to calculate 3 is what percent of 20?
First we have to divide 3 with 20 and multiply with 100 = (3/20)*100 = (3*100)/20 = 15.