49.88 is what percent of 287.38 - 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 287.38 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 287.38, so we can write it down as 100%=287.38.
4. We know, that x% equals 49.88 of the output value, so we can write it down as x%=49.88.
5. Now we have two simple equations:
1) 100%=287.38
2) x%=49.88
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%=287.38/49.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.88 is what percent of 287.38

100%/x%=287.38/49.88
(100/x)*x=(287.38/49.88)*x       - we multiply both sides of the equation by x
100=5.761427425822*x       - we divide both sides of the equation by (5.761427425822) to get x
100/5.761427425822=x
17.356809798873=x
x=17.356809798873

now we have:
49.88 is 17.356809798873% of 287.38