40.34 is what percent of 76.8 - 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 76.8 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 76.8, so we can write it down as 100%=76.8.
4. We know, that x% equals 40.34 of the output value, so we can write it down as x%=40.34.
5. Now we have two simple equations:
1) 100%=76.8
2) x%=40.34
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%=76.8/40.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.34 is what percent of 76.8

100%/x%=76.8/40.34
(100/x)*x=(76.8/40.34)*x       - we multiply both sides of the equation by x
100=1.903817550818*x       - we divide both sides of the equation by (1.903817550818) to get x
100/1.903817550818=x
52.526041666667=x
x=52.526041666667

now we have:
40.34 is 52.526041666667% of 76.8