45968.8 is what percent of 136925.31 - 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 136925.31 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 136925.31, so we can write it down as 100%=136925.31.
4. We know, that x% equals 45968.8 of the output value, so we can write it down as x%=45968.8.
5. Now we have two simple equations:
1) 100%=136925.31
2) x%=45968.8
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%=136925.31/45968.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45968.8 is what percent of 136925.31

100%/x%=136925.31/45968.8
(100/x)*x=(136925.31/45968.8)*x       - we multiply both sides of the equation by x
100=2.9786574807261*x       - we divide both sides of the equation by (2.9786574807261) to get x
100/2.9786574807261=x
33.572171572955=x
x=33.572171572955

now we have:
45968.8 is 33.572171572955% of 136925.31