96 is what percent of 962 - 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 962 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 962, so we can write it down as 100%=962.
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%=962
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%=962/96
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 962

100%/x%=962/96
(100/x)*x=(962/96)*x       - we multiply both sides of the equation by x
100=10.020833333333*x       - we divide both sides of the equation by (10.020833333333) to get x
100/10.020833333333=x
9.97920997921=x
x=9.97920997921

now we have:
96 is 9.97920997921% of 962