217.2 is what percent of 218.2 - 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 218.2 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 218.2, so we can write it down as 100%=218.2.
4. We know, that x% equals 217.2 of the output value, so we can write it down as x%=217.2.
5. Now we have two simple equations:
1) 100%=218.2
2) x%=217.2
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%=218.2/217.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 217.2 is what percent of 218.2

100%/x%=218.2/217.2
(100/x)*x=(218.2/217.2)*x       - we multiply both sides of the equation by x
100=1.0046040515654*x       - we divide both sides of the equation by (1.0046040515654) to get x
100/1.0046040515654=x
99.541704857929=x
x=99.541704857929

now we have:
217.2 is 99.541704857929% of 218.2