56.46 is what percent of 32.71 - 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 32.71 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 32.71, so we can write it down as 100%=32.71.
4. We know, that x% equals 56.46 of the output value, so we can write it down as x%=56.46.
5. Now we have two simple equations:
1) 100%=32.71
2) x%=56.46
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%=32.71/56.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.46 is what percent of 32.71

100%/x%=32.71/56.46
(100/x)*x=(32.71/56.46)*x       - we multiply both sides of the equation by x
100=0.57934821112292*x       - we divide both sides of the equation by (0.57934821112292) to get x
100/0.57934821112292=x
172.60776520942=x
x=172.60776520942

now we have:
56.46 is 172.60776520942% of 32.71