1587.2 is what percent of 9920 - 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 9920 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 9920, so we can write it down as 100%=9920.
4. We know, that x% equals 1587.2 of the output value, so we can write it down as x%=1587.2.
5. Now we have two simple equations:
1) 100%=9920
2) x%=1587.2
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%=9920/1587.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1587.2 is what percent of 9920

100%/x%=9920/1587.2
(100/x)*x=(9920/1587.2)*x       - we multiply both sides of the equation by x
100=6.25*x       - we divide both sides of the equation by (6.25) to get x
100/6.25=x
16=x
x=16

now we have:
1587.2 is 16% of 9920