96.2 is what percent of 104.7 - 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 104.7 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 104.7, so we can write it down as 100%=104.7.
4. We know, that x% equals 96.2 of the output value, so we can write it down as x%=96.2.
5. Now we have two simple equations:
1) 100%=104.7
2) x%=96.2
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%=104.7/96.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.2 is what percent of 104.7

100%/x%=104.7/96.2
(100/x)*x=(104.7/96.2)*x       - we multiply both sides of the equation by x
100=1.0883575883576*x       - we divide both sides of the equation by (1.0883575883576) to get x
100/1.0883575883576=x
91.881566380134=x
x=91.881566380134

now we have:
96.2 is 91.881566380134% of 104.7