892.5 is what percent of 5602 - 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 5602 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 5602, so we can write it down as 100%=5602.
4. We know, that x% equals 892.5 of the output value, so we can write it down as x%=892.5.
5. Now we have two simple equations:
1) 100%=5602
2) x%=892.5
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%=5602/892.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 892.5 is what percent of 5602

100%/x%=5602/892.5
(100/x)*x=(5602/892.5)*x       - we multiply both sides of the equation by x
100=6.2767507002801*x       - we divide both sides of the equation by (6.2767507002801) to get x
100/6.2767507002801=x
15.931810067833=x
x=15.931810067833

now we have:
892.5 is 15.931810067833% of 5602