32.8 is what percent of 687.6 - 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 687.6 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 687.6, so we can write it down as 100%=687.6.
4. We know, that x% equals 32.8 of the output value, so we can write it down as x%=32.8.
5. Now we have two simple equations:
1) 100%=687.6
2) x%=32.8
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%=687.6/32.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.8 is what percent of 687.6

100%/x%=687.6/32.8
(100/x)*x=(687.6/32.8)*x       - we multiply both sides of the equation by x
100=20.963414634146*x       - we divide both sides of the equation by (20.963414634146) to get x
100/20.963414634146=x
4.7702152414194=x
x=4.7702152414194

now we have:
32.8 is 4.7702152414194% of 687.6