37.82 is what percent of 77.5 - 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 77.5 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 77.5, so we can write it down as 100%=77.5.
4. We know, that x% equals 37.82 of the output value, so we can write it down as x%=37.82.
5. Now we have two simple equations:
1) 100%=77.5
2) x%=37.82
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%=77.5/37.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.82 is what percent of 77.5

100%/x%=77.5/37.82
(100/x)*x=(77.5/37.82)*x       - we multiply both sides of the equation by x
100=2.0491803278689*x       - we divide both sides of the equation by (2.0491803278689) to get x
100/2.0491803278689=x
48.8=x
x=48.8

now we have:
37.82 is 48.8% of 77.5