200.08 is what percent of 222.84 - 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 222.84 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 222.84, so we can write it down as 100%=222.84.
4. We know, that x% equals 200.08 of the output value, so we can write it down as x%=200.08.
5. Now we have two simple equations:
1) 100%=222.84
2) x%=200.08
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%=222.84/200.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.08 is what percent of 222.84

100%/x%=222.84/200.08
(100/x)*x=(222.84/200.08)*x       - we multiply both sides of the equation by x
100=1.1137544982007*x       - we divide both sides of the equation by (1.1137544982007) to get x
100/1.1137544982007=x
89.786393825166=x
x=89.786393825166

now we have:
200.08 is 89.786393825166% of 222.84