10.57 is what percent of 32.47 - 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 32.47 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 32.47, so we can write it down as 100%=32.47.
4. We know, that x% equals 10.57 of the output value, so we can write it down as x%=10.57.
5. Now we have two simple equations:
1) 100%=32.47
2) x%=10.57
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%=32.47/10.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.57 is what percent of 32.47

100%/x%=32.47/10.57
(100/x)*x=(32.47/10.57)*x       - we multiply both sides of the equation by x
100=3.0719016083254*x       - we divide both sides of the equation by (3.0719016083254) to get x
100/3.0719016083254=x
32.553125962427=x
x=32.553125962427

now we have:
10.57 is 32.553125962427% of 32.47