872.5 is what percent of 5121.35 - 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 5121.35 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 5121.35, so we can write it down as 100%=5121.35.
4. We know, that x% equals 872.5 of the output value, so we can write it down as x%=872.5.
5. Now we have two simple equations:
1) 100%=5121.35
2) x%=872.5
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%=5121.35/872.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 872.5 is what percent of 5121.35

100%/x%=5121.35/872.5
(100/x)*x=(5121.35/872.5)*x       - we multiply both sides of the equation by x
100=5.8697421203438*x       - we divide both sides of the equation by (5.8697421203438) to get x
100/5.8697421203438=x
17.036523572886=x
x=17.036523572886

now we have:
872.5 is 17.036523572886% of 5121.35