96.8 is what percent of 504.8 - 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 504.8 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 504.8, so we can write it down as 100%=504.8.
4. We know, that x% equals 96.8 of the output value, so we can write it down as x%=96.8.
5. Now we have two simple equations:
1) 100%=504.8
2) x%=96.8
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%=504.8/96.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.8 is what percent of 504.8

100%/x%=504.8/96.8
(100/x)*x=(504.8/96.8)*x       - we multiply both sides of the equation by x
100=5.2148760330579*x       - we divide both sides of the equation by (5.2148760330579) to get x
100/5.2148760330579=x
19.175911251981=x
x=19.175911251981

now we have:
96.8 is 19.175911251981% of 504.8