102.65 is what percent of 136.55 - 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 136.55 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 136.55, so we can write it down as 100%=136.55.
4. We know, that x% equals 102.65 of the output value, so we can write it down as x%=102.65.
5. Now we have two simple equations:
1) 100%=136.55
2) x%=102.65
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%=136.55/102.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.65 is what percent of 136.55

100%/x%=136.55/102.65
(100/x)*x=(136.55/102.65)*x       - we multiply both sides of the equation by x
100=1.3302484169508*x       - we divide both sides of the equation by (1.3302484169508) to get x
100/1.3302484169508=x
75.17392896375=x
x=75.17392896375

now we have:
102.65 is 75.17392896375% of 136.55