96 is what percent of 3619 - 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 3619 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 3619, so we can write it down as 100%=3619.
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%=3619
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%=3619/96
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 3619

100%/x%=3619/96
(100/x)*x=(3619/96)*x       - we multiply both sides of the equation by x
100=37.697916666667*x       - we divide both sides of the equation by (37.697916666667) to get x
100/37.697916666667=x
2.6526664824537=x
x=2.6526664824537

now we have:
96 is 2.6526664824537% of 3619