112.62 is what percent of 5048 - 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 5048 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 5048, so we can write it down as 100%=5048.
4. We know, that x% equals 112.62 of the output value, so we can write it down as x%=112.62.
5. Now we have two simple equations:
1) 100%=5048
2) x%=112.62
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%=5048/112.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.62 is what percent of 5048

100%/x%=5048/112.62
(100/x)*x=(5048/112.62)*x       - we multiply both sides of the equation by x
100=44.823299591547*x       - we divide both sides of the equation by (44.823299591547) to get x
100/44.823299591547=x
2.2309825673534=x
x=2.2309825673534

now we have:
112.62 is 2.2309825673534% of 5048