87.75 is what percent of 46.66 - 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 46.66 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 46.66, so we can write it down as 100%=46.66.
4. We know, that x% equals 87.75 of the output value, so we can write it down as x%=87.75.
5. Now we have two simple equations:
1) 100%=46.66
2) x%=87.75
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%=46.66/87.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.75 is what percent of 46.66

100%/x%=46.66/87.75
(100/x)*x=(46.66/87.75)*x       - we multiply both sides of the equation by x
100=0.53173789173789*x       - we divide both sides of the equation by (0.53173789173789) to get x
100/0.53173789173789=x
188.06258036862=x
x=188.06258036862

now we have:
87.75 is 188.06258036862% of 46.66