159.37 is what percent of 531.23 - 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 531.23 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 531.23, so we can write it down as 100%=531.23.
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%=531.23
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%=531.23/159.37
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 531.23

100%/x%=531.23/159.37
(100/x)*x=(531.23/159.37)*x       - we multiply both sides of the equation by x
100=3.3333124176445*x       - we divide both sides of the equation by (3.3333124176445) to get x
100/3.3333124176445=x
30.000188242381=x
x=30.000188242381

now we have:
159.37 is 30.000188242381% of 531.23