8.32 is what percent of 42.77 - 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 42.77 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 42.77, so we can write it down as 100%=42.77.
4. We know, that x% equals 8.32 of the output value, so we can write it down as x%=8.32.
5. Now we have two simple equations:
1) 100%=42.77
2) x%=8.32
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%=42.77/8.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.32 is what percent of 42.77

100%/x%=42.77/8.32
(100/x)*x=(42.77/8.32)*x       - we multiply both sides of the equation by x
100=5.140625*x       - we divide both sides of the equation by (5.140625) to get x
100/5.140625=x
19.452887537994=x
x=19.452887537994

now we have:
8.32 is 19.452887537994% of 42.77