2002.25 is what percent of 2208 - 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 2208 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 2208, so we can write it down as 100%=2208.
4. We know, that x% equals 2002.25 of the output value, so we can write it down as x%=2002.25.
5. Now we have two simple equations:
1) 100%=2208
2) x%=2002.25
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%=2208/2002.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2002.25 is what percent of 2208

100%/x%=2208/2002.25
(100/x)*x=(2208/2002.25)*x       - we multiply both sides of the equation by x
100=1.1027593956799*x       - we divide both sides of the equation by (1.1027593956799) to get x
100/1.1027593956799=x
90.681612318841=x
x=90.681612318841

now we have:
2002.25 is 90.681612318841% of 2208