204.85 is what percent of 217.55 - 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 217.55 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 217.55, so we can write it down as 100%=217.55.
4. We know, that x% equals 204.85 of the output value, so we can write it down as x%=204.85.
5. Now we have two simple equations:
1) 100%=217.55
2) x%=204.85
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%=217.55/204.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.85 is what percent of 217.55

100%/x%=217.55/204.85
(100/x)*x=(217.55/204.85)*x       - we multiply both sides of the equation by x
100=1.0619965828655*x       - we divide both sides of the equation by (1.0619965828655) to get x
100/1.0619965828655=x
94.162261549069=x
x=94.162261549069

now we have:
204.85 is 94.162261549069% of 217.55