107.57 is what percent of 466.76 - 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 466.76 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 466.76, so we can write it down as 100%=466.76.
4. We know, that x% equals 107.57 of the output value, so we can write it down as x%=107.57.
5. Now we have two simple equations:
1) 100%=466.76
2) x%=107.57
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%=466.76/107.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.57 is what percent of 466.76

100%/x%=466.76/107.57
(100/x)*x=(466.76/107.57)*x       - we multiply both sides of the equation by x
100=4.3391280096681*x       - we divide both sides of the equation by (4.3391280096681) to get x
100/4.3391280096681=x
23.046105064701=x
x=23.046105064701

now we have:
107.57 is 23.046105064701% of 466.76