62.29 is what percent of 64.49 - 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 64.49 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 64.49, so we can write it down as 100%=64.49.
4. We know, that x% equals 62.29 of the output value, so we can write it down as x%=62.29.
5. Now we have two simple equations:
1) 100%=64.49
2) x%=62.29
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%=64.49/62.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.29 is what percent of 64.49

100%/x%=64.49/62.29
(100/x)*x=(64.49/62.29)*x       - we multiply both sides of the equation by x
100=1.0353186707337*x       - we divide both sides of the equation by (1.0353186707337) to get x
100/1.0353186707337=x
96.588618390448=x
x=96.588618390448

now we have:
62.29 is 96.588618390448% of 64.49