64.58 is what percent of 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 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 5, so we can write it down as 100%=5.
4. We know, that x% equals 64.58 of the output value, so we can write it down as x%=64.58.
5. Now we have two simple equations:
1) 100%=5
2) x%=64.58
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%=5/64.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.58 is what percent of 5

100%/x%=5/64.58
(100/x)*x=(5/64.58)*x       - we multiply both sides of the equation by x
100=0.077423350882626*x       - we divide both sides of the equation by (0.077423350882626) to get x
100/0.077423350882626=x
1291.6=x
x=1291.6

now we have:
64.58 is 1291.6% of 5