36.02 is what percent of 661.59 - 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 661.59 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 661.59, so we can write it down as 100%=661.59.
4. We know, that x% equals 36.02 of the output value, so we can write it down as x%=36.02.
5. Now we have two simple equations:
1) 100%=661.59
2) x%=36.02
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%=661.59/36.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.02 is what percent of 661.59

100%/x%=661.59/36.02
(100/x)*x=(661.59/36.02)*x       - we multiply both sides of the equation by x
100=18.367295946696*x       - we divide both sides of the equation by (18.367295946696) to get x
100/18.367295946696=x
5.4444595595459=x
x=5.4444595595459

now we have:
36.02 is 5.4444595595459% of 661.59