75.36 is what percent of 40.957 - 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 40.957 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 40.957, so we can write it down as 100%=40.957.
4. We know, that x% equals 75.36 of the output value, so we can write it down as x%=75.36.
5. Now we have two simple equations:
1) 100%=40.957
2) x%=75.36
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%=40.957/75.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.36 is what percent of 40.957

100%/x%=40.957/75.36
(100/x)*x=(40.957/75.36)*x       - we multiply both sides of the equation by x
100=0.54348460721868*x       - we divide both sides of the equation by (0.54348460721868) to get x
100/0.54348460721868=x
183.99785140513=x
x=183.99785140513

now we have:
75.36 is 183.99785140513% of 40.957