104.8 is what percent of 217.8 - 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 217.8 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 217.8, so we can write it down as 100%=217.8.
4. We know, that x% equals 104.8 of the output value, so we can write it down as x%=104.8.
5. Now we have two simple equations:
1) 100%=217.8
2) x%=104.8
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%=217.8/104.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.8 is what percent of 217.8

100%/x%=217.8/104.8
(100/x)*x=(217.8/104.8)*x       - we multiply both sides of the equation by x
100=2.0782442748092*x       - we divide both sides of the equation by (2.0782442748092) to get x
100/2.0782442748092=x
48.11753902663=x
x=48.11753902663

now we have:
104.8 is 48.11753902663% of 217.8