96 is what percent of 97.4 - 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 97.4 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 97.4, so we can write it down as 100%=97.4.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=97.4
2) x%=96
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%=97.4/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 97.4

100%/x%=97.4/96
(100/x)*x=(97.4/96)*x       - we multiply both sides of the equation by x
100=1.0145833333333*x       - we divide both sides of the equation by (1.0145833333333) to get x
100/1.0145833333333=x
98.562628336756=x
x=98.562628336756

now we have:
96 is 98.562628336756% of 97.4