32 is what percent of 312.92 - 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 312.92 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 312.92, so we can write it down as 100%=312.92.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=312.92
2) x%=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%=312.92/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 312.92

100%/x%=312.92/32
(100/x)*x=(312.92/32)*x       - we multiply both sides of the equation by x
100=9.77875*x       - we divide both sides of the equation by (9.77875) to get x
100/9.77875=x
10.226255912054=x
x=10.226255912054

now we have:
32 is 10.226255912054% of 312.92