32.08 is what percent of 877.76 - 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 877.76 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 877.76, so we can write it down as 100%=877.76.
4. We know, that x% equals 32.08 of the output value, so we can write it down as x%=32.08.
5. Now we have two simple equations:
1) 100%=877.76
2) x%=32.08
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%=877.76/32.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.08 is what percent of 877.76

100%/x%=877.76/32.08
(100/x)*x=(877.76/32.08)*x       - we multiply both sides of the equation by x
100=27.361596009975*x       - we divide both sides of the equation by (27.361596009975) to get x
100/27.361596009975=x
3.6547575647102=x
x=3.6547575647102

now we have:
32.08 is 3.6547575647102% of 877.76