64.8 is what percent of 110.7 - 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 110.7 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 110.7, so we can write it down as 100%=110.7.
4. We know, that x% equals 64.8 of the output value, so we can write it down as x%=64.8.
5. Now we have two simple equations:
1) 100%=110.7
2) x%=64.8
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%=110.7/64.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.8 is what percent of 110.7

100%/x%=110.7/64.8
(100/x)*x=(110.7/64.8)*x       - we multiply both sides of the equation by x
100=1.7083333333333*x       - we divide both sides of the equation by (1.7083333333333) to get x
100/1.7083333333333=x
58.536585365854=x
x=58.536585365854

now we have:
64.8 is 58.536585365854% of 110.7