96 is what percent of 3694 - 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 3694 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 3694, so we can write it down as 100%=3694.
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%=3694
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%=3694/96
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 3694

100%/x%=3694/96
(100/x)*x=(3694/96)*x       - we multiply both sides of the equation by x
100=38.479166666667*x       - we divide both sides of the equation by (38.479166666667) to get x
100/38.479166666667=x
2.5988088792637=x
x=2.5988088792637

now we have:
96 is 2.5988088792637% of 3694