3.25 is what percent of 3640 - 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 3640 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 3640, so we can write it down as 100%=3640.
4. We know, that x% equals 3.25 of the output value, so we can write it down as x%=3.25.
5. Now we have two simple equations:
1) 100%=3640
2) x%=3.25
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%=3640/3.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.25 is what percent of 3640

100%/x%=3640/3.25
(100/x)*x=(3640/3.25)*x       - we multiply both sides of the equation by x
100=1120*x       - we divide both sides of the equation by (1120) to get x
100/1120=x
0.089285714285714=x
x=0.089285714285714

now we have:
3.25 is 0.089285714285714% of 3640