96.72 is what percent of 105.1 - 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 105.1 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 105.1, so we can write it down as 100%=105.1.
4. We know, that x% equals 96.72 of the output value, so we can write it down as x%=96.72.
5. Now we have two simple equations:
1) 100%=105.1
2) x%=96.72
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%=105.1/96.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.72 is what percent of 105.1

100%/x%=105.1/96.72
(100/x)*x=(105.1/96.72)*x       - we multiply both sides of the equation by x
100=1.0866418527709*x       - we divide both sides of the equation by (1.0866418527709) to get x
100/1.0866418527709=x
92.026641294006=x
x=92.026641294006

now we have:
96.72 is 92.026641294006% of 105.1