20.71 is what percent of 159.39 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 159.39 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 159.39, so we can write it down as 100%=159.39.
4. We know, that x% equals 20.71 of the output value, so we can write it down as x%=20.71.
5. Now we have two simple equations:
1) 100%=159.39
2) x%=20.71
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=159.39/20.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.71 is what percent of 159.39

100%/x%=159.39/20.71
(100/x)*x=(159.39/20.71)*x       - we multiply both sides of the equation by x
100=7.6962819893771*x       - we divide both sides of the equation by (7.6962819893771) to get x
100/7.6962819893771=x
12.99328690633=x
x=12.99328690633

now we have:
20.71 is 12.99328690633% of 159.39