159.37 is what percent of 529.98 - 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 529.98 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 529.98, so we can write it down as 100%=529.98.
4. We know, that x% equals 159.37 of the output value, so we can write it down as x%=159.37.
5. Now we have two simple equations:
1) 100%=529.98
2) x%=159.37
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%=529.98/159.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.37 is what percent of 529.98

100%/x%=529.98/159.37
(100/x)*x=(529.98/159.37)*x       - we multiply both sides of the equation by x
100=3.3254690343226*x       - we divide both sides of the equation by (3.3254690343226) to get x
100/3.3254690343226=x
30.070946073437=x
x=30.070946073437

now we have:
159.37 is 30.070946073437% of 529.98