76.15 is what percent of 136.65 - 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 136.65 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 136.65, so we can write it down as 100%=136.65.
4. We know, that x% equals 76.15 of the output value, so we can write it down as x%=76.15.
5. Now we have two simple equations:
1) 100%=136.65
2) x%=76.15
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%=136.65/76.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.15 is what percent of 136.65

100%/x%=136.65/76.15
(100/x)*x=(136.65/76.15)*x       - we multiply both sides of the equation by x
100=1.7944845699278*x       - we divide both sides of the equation by (1.7944845699278) to get x
100/1.7944845699278=x
55.726308086352=x
x=55.726308086352

now we have:
76.15 is 55.726308086352% of 136.65