4249.75 is what percent of 5200 - 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 5200 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 5200, so we can write it down as 100%=5200.
4. We know, that x% equals 4249.75 of the output value, so we can write it down as x%=4249.75.
5. Now we have two simple equations:
1) 100%=5200
2) x%=4249.75
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%=5200/4249.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4249.75 is what percent of 5200

100%/x%=5200/4249.75
(100/x)*x=(5200/4249.75)*x       - we multiply both sides of the equation by x
100=1.223601388317*x       - we divide both sides of the equation by (1.223601388317) to get x
100/1.223601388317=x
81.725961538462=x
x=81.725961538462

now we have:
4249.75 is 81.725961538462% of 5200