65 is what percent of 117.5 - 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 117.5 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 117.5, so we can write it down as 100%=117.5.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=117.5
2) x%=65
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%=117.5/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 117.5

100%/x%=117.5/65
(100/x)*x=(117.5/65)*x       - we multiply both sides of the equation by x
100=1.8076923076923*x       - we divide both sides of the equation by (1.8076923076923) to get x
100/1.8076923076923=x
55.31914893617=x
x=55.31914893617

now we have:
65 is 55.31914893617% of 117.5