52.85 is what percent of 3774.19 - 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 3774.19 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 3774.19, so we can write it down as 100%=3774.19.
4. We know, that x% equals 52.85 of the output value, so we can write it down as x%=52.85.
5. Now we have two simple equations:
1) 100%=3774.19
2) x%=52.85
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%=3774.19/52.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.85 is what percent of 3774.19

100%/x%=3774.19/52.85
(100/x)*x=(3774.19/52.85)*x       - we multiply both sides of the equation by x
100=71.413245033113*x       - we divide both sides of the equation by (71.413245033113) to get x
100/71.413245033113=x
1.4003004618209=x
x=1.4003004618209

now we have:
52.85 is 1.4003004618209% of 3774.19