96 is what percent of 19915 - 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 19915 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 19915, so we can write it down as 100%=19915.
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%=19915
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%=19915/96
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 19915

100%/x%=19915/96
(100/x)*x=(19915/96)*x       - we multiply both sides of the equation by x
100=207.44791666667*x       - we divide both sides of the equation by (207.44791666667) to get x
100/207.44791666667=x
0.48204870700477=x
x=0.48204870700477

now we have:
96 is 0.48204870700477% of 19915