95 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 95 of the output value, so we can write it down as x%=95.
5. Now we have two simple equations:
1) 100%=3640
2) x%=95
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%=3640/95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95 is what percent of 3640

100%/x%=3640/95
(100/x)*x=(3640/95)*x       - we multiply both sides of the equation by x
100=38.315789473684*x       - we divide both sides of the equation by (38.315789473684) to get x
100/38.315789473684=x
2.6098901098901=x
x=2.6098901098901

now we have:
95 is 2.6098901098901% of 3640