136.75 is what percent of 379.56 - 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 379.56 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 379.56, so we can write it down as 100%=379.56.
4. We know, that x% equals 136.75 of the output value, so we can write it down as x%=136.75.
5. Now we have two simple equations:
1) 100%=379.56
2) x%=136.75
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%=379.56/136.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.75 is what percent of 379.56

100%/x%=379.56/136.75
(100/x)*x=(379.56/136.75)*x       - we multiply both sides of the equation by x
100=2.7755758683729*x       - we divide both sides of the equation by (2.7755758683729) to get x
100/2.7755758683729=x
36.028559384551=x
x=36.028559384551

now we have:
136.75 is 36.028559384551% of 379.56