96 is what percent of 13946 - 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 13946 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 13946, so we can write it down as 100%=13946.
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%=13946
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%=13946/96
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 13946

100%/x%=13946/96
(100/x)*x=(13946/96)*x       - we multiply both sides of the equation by x
100=145.27083333333*x       - we divide both sides of the equation by (145.27083333333) to get x
100/145.27083333333=x
0.68836942492471=x
x=0.68836942492471

now we have:
96 is 0.68836942492471% of 13946