96 is what percent of 13054 - 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 13054 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 13054, so we can write it down as 100%=13054.
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%=13054
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%=13054/96
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 13054

100%/x%=13054/96
(100/x)*x=(13054/96)*x       - we multiply both sides of the equation by x
100=135.97916666667*x       - we divide both sides of the equation by (135.97916666667) to get x
100/135.97916666667=x
0.73540677187069=x
x=0.73540677187069

now we have:
96 is 0.73540677187069% of 13054