32.5 is what percent of 77.747 - 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 77.747 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 77.747, so we can write it down as 100%=77.747.
4. We know, that x% equals 32.5 of the output value, so we can write it down as x%=32.5.
5. Now we have two simple equations:
1) 100%=77.747
2) x%=32.5
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%=77.747/32.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.5 is what percent of 77.747

100%/x%=77.747/32.5
(100/x)*x=(77.747/32.5)*x       - we multiply both sides of the equation by x
100=2.3922153846154*x       - we divide both sides of the equation by (2.3922153846154) to get x
100/2.3922153846154=x
41.802256035603=x
x=41.802256035603

now we have:
32.5 is 41.802256035603% of 77.747