645.28 is what percent of 2289.55 - 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 2289.55 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 2289.55, so we can write it down as 100%=2289.55.
4. We know, that x% equals 645.28 of the output value, so we can write it down as x%=645.28.
5. Now we have two simple equations:
1) 100%=2289.55
2) x%=645.28
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%=2289.55/645.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 645.28 is what percent of 2289.55

100%/x%=2289.55/645.28
(100/x)*x=(2289.55/645.28)*x       - we multiply both sides of the equation by x
100=3.5481496404662*x       - we divide both sides of the equation by (3.5481496404662) to get x
100/3.5481496404662=x
28.183704221354=x
x=28.183704221354

now we have:
645.28 is 28.183704221354% of 2289.55