64.67 is what percent of 720.83 - 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 720.83 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 720.83, so we can write it down as 100%=720.83.
4. We know, that x% equals 64.67 of the output value, so we can write it down as x%=64.67.
5. Now we have two simple equations:
1) 100%=720.83
2) x%=64.67
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%=720.83/64.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.67 is what percent of 720.83

100%/x%=720.83/64.67
(100/x)*x=(720.83/64.67)*x       - we multiply both sides of the equation by x
100=11.14628111953*x       - we divide both sides of the equation by (11.14628111953) to get x
100/11.14628111953=x
8.9716021808193=x
x=8.9716021808193

now we have:
64.67 is 8.9716021808193% of 720.83