159.82 is what percent of 757.72 - 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 757.72 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 757.72, so we can write it down as 100%=757.72.
4. We know, that x% equals 159.82 of the output value, so we can write it down as x%=159.82.
5. Now we have two simple equations:
1) 100%=757.72
2) x%=159.82
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%=757.72/159.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.82 is what percent of 757.72

100%/x%=757.72/159.82
(100/x)*x=(757.72/159.82)*x       - we multiply both sides of the equation by x
100=4.7410837191841*x       - we divide both sides of the equation by (4.7410837191841) to get x
100/4.7410837191841=x
21.092224040543=x
x=21.092224040543

now we have:
159.82 is 21.092224040543% of 757.72