42.37 is what percent of 77.04 - 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 77.04 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 77.04, so we can write it down as 100%=77.04.
4. We know, that x% equals 42.37 of the output value, so we can write it down as x%=42.37.
5. Now we have two simple equations:
1) 100%=77.04
2) x%=42.37
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%=77.04/42.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.37 is what percent of 77.04

100%/x%=77.04/42.37
(100/x)*x=(77.04/42.37)*x       - we multiply both sides of the equation by x
100=1.8182676421997*x       - we divide both sides of the equation by (1.8182676421997) to get x
100/1.8182676421997=x
54.997403946002=x
x=54.997403946002

now we have:
42.37 is 54.997403946002% of 77.04