85 is what percent of 3650 - 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 3650 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 3650, so we can write it down as 100%=3650.
4. We know, that x% equals 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=3650
2) x%=85
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%=3650/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 3650

100%/x%=3650/85
(100/x)*x=(3650/85)*x       - we multiply both sides of the equation by x
100=42.941176470588*x       - we divide both sides of the equation by (42.941176470588) to get x
100/42.941176470588=x
2.3287671232877=x
x=2.3287671232877

now we have:
85 is 2.3287671232877% of 3650