32.62 is what percent of 647.4 - 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 647.4 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 647.4, so we can write it down as 100%=647.4.
4. We know, that x% equals 32.62 of the output value, so we can write it down as x%=32.62.
5. Now we have two simple equations:
1) 100%=647.4
2) x%=32.62
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%=647.4/32.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.62 is what percent of 647.4

100%/x%=647.4/32.62
(100/x)*x=(647.4/32.62)*x       - we multiply both sides of the equation by x
100=19.846719803801*x       - we divide both sides of the equation by (19.846719803801) to get x
100/19.846719803801=x
5.0386160024714=x
x=5.0386160024714

now we have:
32.62 is 5.0386160024714% of 647.4