248.8 is what percent of 237.6 - 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 237.6 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 237.6, so we can write it down as 100%=237.6.
4. We know, that x% equals 248.8 of the output value, so we can write it down as x%=248.8.
5. Now we have two simple equations:
1) 100%=237.6
2) x%=248.8
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%=237.6/248.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.8 is what percent of 237.6

100%/x%=237.6/248.8
(100/x)*x=(237.6/248.8)*x       - we multiply both sides of the equation by x
100=0.95498392282958*x       - we divide both sides of the equation by (0.95498392282958) to get x
100/0.95498392282958=x
104.7138047138=x
x=104.7138047138

now we have:
248.8 is 104.7138047138% of 237.6