2870.4 is what percent of 49920 - 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 49920 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 49920, so we can write it down as 100%=49920.
4. We know, that x% equals 2870.4 of the output value, so we can write it down as x%=2870.4.
5. Now we have two simple equations:
1) 100%=49920
2) x%=2870.4
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%=49920/2870.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2870.4 is what percent of 49920

100%/x%=49920/2870.4
(100/x)*x=(49920/2870.4)*x       - we multiply both sides of the equation by x
100=17.391304347826*x       - we divide both sides of the equation by (17.391304347826) to get x
100/17.391304347826=x
5.75=x
x=5.75

now we have:
2870.4 is 5.75% of 49920