94.8 is what percent of 97.8 - 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 97.8 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 97.8, so we can write it down as 100%=97.8.
4. We know, that x% equals 94.8 of the output value, so we can write it down as x%=94.8.
5. Now we have two simple equations:
1) 100%=97.8
2) x%=94.8
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%=97.8/94.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.8 is what percent of 97.8

100%/x%=97.8/94.8
(100/x)*x=(97.8/94.8)*x       - we multiply both sides of the equation by x
100=1.0316455696203*x       - we divide both sides of the equation by (1.0316455696203) to get x
100/1.0316455696203=x
96.932515337423=x
x=96.932515337423

now we have:
94.8 is 96.932515337423% of 97.8