64.82 is what percent of 1059.36 - 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 1059.36 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 1059.36, so we can write it down as 100%=1059.36.
4. We know, that x% equals 64.82 of the output value, so we can write it down as x%=64.82.
5. Now we have two simple equations:
1) 100%=1059.36
2) x%=64.82
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%=1059.36/64.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.82 is what percent of 1059.36

100%/x%=1059.36/64.82
(100/x)*x=(1059.36/64.82)*x       - we multiply both sides of the equation by x
100=16.343103980253*x       - we divide both sides of the equation by (16.343103980253) to get x
100/16.343103980253=x
6.1187887026129=x
x=6.1187887026129

now we have:
64.82 is 6.1187887026129% of 1059.36