32 is what percent of 406 - 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 406 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 406, so we can write it down as 100%=406.
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%=406
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%=406/32
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 406

100%/x%=406/32
(100/x)*x=(406/32)*x       - we multiply both sides of the equation by x
100=12.6875*x       - we divide both sides of the equation by (12.6875) to get x
100/12.6875=x
7.8817733990148=x
x=7.8817733990148

now we have:
32 is 7.8817733990148% of 406