2988.9 is what percent of 3645 - 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 3645 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 3645, so we can write it down as 100%=3645.
4. We know, that x% equals 2988.9 of the output value, so we can write it down as x%=2988.9.
5. Now we have two simple equations:
1) 100%=3645
2) x%=2988.9
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%=3645/2988.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2988.9 is what percent of 3645

100%/x%=3645/2988.9
(100/x)*x=(3645/2988.9)*x       - we multiply both sides of the equation by x
100=1.219512195122*x       - we divide both sides of the equation by (1.219512195122) to get x
100/1.219512195122=x
82=x
x=82

now we have:
2988.9 is 82% of 3645