32.07 is what percent of 1567 - 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 1567 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 1567, so we can write it down as 100%=1567.
4. We know, that x% equals 32.07 of the output value, so we can write it down as x%=32.07.
5. Now we have two simple equations:
1) 100%=1567
2) x%=32.07
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%=1567/32.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.07 is what percent of 1567

100%/x%=1567/32.07
(100/x)*x=(1567/32.07)*x       - we multiply both sides of the equation by x
100=48.861864671032*x       - we divide both sides of the equation by (48.861864671032) to get x
100/48.861864671032=x
2.0465858328015=x
x=2.0465858328015

now we have:
32.07 is 2.0465858328015% of 1567