32.59 is what percent of 642.18 - 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 642.18 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 642.18, so we can write it down as 100%=642.18.
4. We know, that x% equals 32.59 of the output value, so we can write it down as x%=32.59.
5. Now we have two simple equations:
1) 100%=642.18
2) x%=32.59
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%=642.18/32.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.59 is what percent of 642.18

100%/x%=642.18/32.59
(100/x)*x=(642.18/32.59)*x       - we multiply both sides of the equation by x
100=19.704817428659*x       - we divide both sides of the equation by (19.704817428659) to get x
100/19.704817428659=x
5.0749011180666=x
x=5.0749011180666

now we have:
32.59 is 5.0749011180666% of 642.18