135.7 is what percent of 183.4 - 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 183.4 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 183.4, so we can write it down as 100%=183.4.
4. We know, that x% equals 135.7 of the output value, so we can write it down as x%=135.7.
5. Now we have two simple equations:
1) 100%=183.4
2) x%=135.7
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%=183.4/135.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.7 is what percent of 183.4

100%/x%=183.4/135.7
(100/x)*x=(183.4/135.7)*x       - we multiply both sides of the equation by x
100=1.3515106853353*x       - we divide both sides of the equation by (1.3515106853353) to get x
100/1.3515106853353=x
73.991275899673=x
x=73.991275899673

now we have:
135.7 is 73.991275899673% of 183.4