37.3 is what percent of 77.6 - 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 77.6 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 77.6, so we can write it down as 100%=77.6.
4. We know, that x% equals 37.3 of the output value, so we can write it down as x%=37.3.
5. Now we have two simple equations:
1) 100%=77.6
2) x%=37.3
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%=77.6/37.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.3 is what percent of 77.6

100%/x%=77.6/37.3
(100/x)*x=(77.6/37.3)*x       - we multiply both sides of the equation by x
100=2.0804289544236*x       - we divide both sides of the equation by (2.0804289544236) to get x
100/2.0804289544236=x
48.067010309278=x
x=48.067010309278

now we have:
37.3 is 48.067010309278% of 77.6