66.24 is what percent of 677.04 - 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 677.04 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 677.04, so we can write it down as 100%=677.04.
4. We know, that x% equals 66.24 of the output value, so we can write it down as x%=66.24.
5. Now we have two simple equations:
1) 100%=677.04
2) x%=66.24
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%=677.04/66.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.24 is what percent of 677.04

100%/x%=677.04/66.24
(100/x)*x=(677.04/66.24)*x       - we multiply both sides of the equation by x
100=10.221014492754*x       - we divide both sides of the equation by (10.221014492754) to get x
100/10.221014492754=x
9.7837646224743=x
x=9.7837646224743

now we have:
66.24 is 9.7837646224743% of 677.04