874.7 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 874.7 of the output value, so we can write it down as x%=874.7.
5. Now we have two simple equations:
1) 100%=5200
2) x%=874.7
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%=5200/874.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 874.7 is what percent of 5200

100%/x%=5200/874.7
(100/x)*x=(5200/874.7)*x       - we multiply both sides of the equation by x
100=5.9448953927061*x       - we divide both sides of the equation by (5.9448953927061) to get x
100/5.9448953927061=x
16.821153846154=x
x=16.821153846154

now we have:
874.7 is 16.821153846154% of 5200