64.47 is what percent of 103.5 - 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 103.5 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 103.5, so we can write it down as 100%=103.5.
4. We know, that x% equals 64.47 of the output value, so we can write it down as x%=64.47.
5. Now we have two simple equations:
1) 100%=103.5
2) x%=64.47
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%=103.5/64.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.47 is what percent of 103.5

100%/x%=103.5/64.47
(100/x)*x=(103.5/64.47)*x       - we multiply both sides of the equation by x
100=1.6053978594695*x       - we divide both sides of the equation by (1.6053978594695) to get x
100/1.6053978594695=x
62.289855072464=x
x=62.289855072464

now we have:
64.47 is 62.289855072464% of 103.5