32 is what percent of 3080 - 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 3080 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 3080, so we can write it down as 100%=3080.
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%=3080
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%=3080/32
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 3080

100%/x%=3080/32
(100/x)*x=(3080/32)*x       - we multiply both sides of the equation by x
100=96.25*x       - we divide both sides of the equation by (96.25) to get x
100/96.25=x
1.038961038961=x
x=1.038961038961

now we have:
32 is 1.038961038961% of 3080