159.37 is what percent of 509.99 - 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 509.99 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 509.99, so we can write it down as 100%=509.99.
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%=509.99
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%=509.99/159.37
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 509.99

100%/x%=509.99/159.37
(100/x)*x=(509.99/159.37)*x       - we multiply both sides of the equation by x
100=3.2000376482399*x       - we divide both sides of the equation by (3.2000376482399) to get x
100/3.2000376482399=x
31.249632345732=x
x=31.249632345732

now we have:
159.37 is 31.249632345732% of 509.99