62.66 is what percent of 642.38 - 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 642.38 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 642.38, so we can write it down as 100%=642.38.
4. We know, that x% equals 62.66 of the output value, so we can write it down as x%=62.66.
5. Now we have two simple equations:
1) 100%=642.38
2) x%=62.66
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%=642.38/62.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.66 is what percent of 642.38

100%/x%=642.38/62.66
(100/x)*x=(642.38/62.66)*x       - we multiply both sides of the equation by x
100=10.251835301628*x       - we divide both sides of the equation by (10.251835301628) to get x
100/10.251835301628=x
9.754351007192=x
x=9.754351007192

now we have:
62.66 is 9.754351007192% of 642.38