52.16 is what percent of 2296.74 - 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 2296.74 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 2296.74, so we can write it down as 100%=2296.74.
4. We know, that x% equals 52.16 of the output value, so we can write it down as x%=52.16.
5. Now we have two simple equations:
1) 100%=2296.74
2) x%=52.16
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%=2296.74/52.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.16 is what percent of 2296.74

100%/x%=2296.74/52.16
(100/x)*x=(2296.74/52.16)*x       - we multiply both sides of the equation by x
100=44.03259202454*x       - we divide both sides of the equation by (44.03259202454) to get x
100/44.03259202454=x
2.2710450464572=x
x=2.2710450464572

now we have:
52.16 is 2.2710450464572% of 2296.74