136.58 is what percent of 4552.5 - 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 4552.5 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 4552.5, so we can write it down as 100%=4552.5.
4. We know, that x% equals 136.58 of the output value, so we can write it down as x%=136.58.
5. Now we have two simple equations:
1) 100%=4552.5
2) x%=136.58
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%=4552.5/136.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.58 is what percent of 4552.5

100%/x%=4552.5/136.58
(100/x)*x=(4552.5/136.58)*x       - we multiply both sides of the equation by x
100=33.332113047298*x       - we divide both sides of the equation by (33.332113047298) to get x
100/33.332113047298=x
3.0001098297639=x
x=3.0001098297639

now we have:
136.58 is 3.0001098297639% of 4552.5