2209.25 is what percent of 3298 - 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 3298 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 3298, so we can write it down as 100%=3298.
4. We know, that x% equals 2209.25 of the output value, so we can write it down as x%=2209.25.
5. Now we have two simple equations:
1) 100%=3298
2) x%=2209.25
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%=3298/2209.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2209.25 is what percent of 3298

100%/x%=3298/2209.25
(100/x)*x=(3298/2209.25)*x       - we multiply both sides of the equation by x
100=1.4928143034967*x       - we divide both sides of the equation by (1.4928143034967) to get x
100/1.4928143034967=x
66.987568223166=x
x=66.987568223166

now we have:
2209.25 is 66.987568223166% of 3298