35692.25 is what percent of 47760.12 - 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 47760.12 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 47760.12, so we can write it down as 100%=47760.12.
4. We know, that x% equals 35692.25 of the output value, so we can write it down as x%=35692.25.
5. Now we have two simple equations:
1) 100%=47760.12
2) x%=35692.25
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%=47760.12/35692.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35692.25 is what percent of 47760.12

100%/x%=47760.12/35692.25
(100/x)*x=(47760.12/35692.25)*x       - we multiply both sides of the equation by x
100=1.3381089732365*x       - we divide both sides of the equation by (1.3381089732365) to get x
100/1.3381089732365=x
74.732328980748=x
x=74.732328980748

now we have:
35692.25 is 74.732328980748% of 47760.12