8.32 is what percent of 469.87 - 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 469.87 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 469.87, so we can write it down as 100%=469.87.
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%=469.87
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%=469.87/8.32
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 469.87

100%/x%=469.87/8.32
(100/x)*x=(469.87/8.32)*x       - we multiply both sides of the equation by x
100=56.474759615385*x       - we divide both sides of the equation by (56.474759615385) to get x
100/56.474759615385=x
1.7707025347437=x
x=1.7707025347437

now we have:
8.32 is 1.7707025347437% of 469.87