32 is what percent of 393.626 - 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 393.626 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 393.626, so we can write it down as 100%=393.626.
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%=393.626
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%=393.626/32
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 393.626

100%/x%=393.626/32
(100/x)*x=(393.626/32)*x       - we multiply both sides of the equation by x
100=12.3008125*x       - we divide both sides of the equation by (12.3008125) to get x
100/12.3008125=x
8.129544288233=x
x=8.129544288233

now we have:
32 is 8.129544288233% of 393.626