1001.47 is what percent of 3100 - 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 3100 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 3100, so we can write it down as 100%=3100.
4. We know, that x% equals 1001.47 of the output value, so we can write it down as x%=1001.47.
5. Now we have two simple equations:
1) 100%=3100
2) x%=1001.47
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%=3100/1001.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1001.47 is what percent of 3100

100%/x%=3100/1001.47
(100/x)*x=(3100/1001.47)*x       - we multiply both sides of the equation by x
100=3.0954496889572*x       - we divide both sides of the equation by (3.0954496889572) to get x
100/3.0954496889572=x
32.305483870968=x
x=32.305483870968

now we have:
1001.47 is 32.305483870968% of 3100