65 is what percent of 55.5 - 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 55.5 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 55.5, so we can write it down as 100%=55.5.
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%=55.5
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%=55.5/65
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 55.5

100%/x%=55.5/65
(100/x)*x=(55.5/65)*x       - we multiply both sides of the equation by x
100=0.85384615384615*x       - we divide both sides of the equation by (0.85384615384615) to get x
100/0.85384615384615=x
117.11711711712=x
x=117.11711711712

now we have:
65 is 117.11711711712% of 55.5