218.3 is what percent of 218.5 - 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 218.5 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 218.5, so we can write it down as 100%=218.5.
4. We know, that x% equals 218.3 of the output value, so we can write it down as x%=218.3.
5. Now we have two simple equations:
1) 100%=218.5
2) x%=218.3
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%=218.5/218.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.3 is what percent of 218.5

100%/x%=218.5/218.3
(100/x)*x=(218.5/218.3)*x       - we multiply both sides of the equation by x
100=1.0009161704077*x       - we divide both sides of the equation by (1.0009161704077) to get x
100/1.0009161704077=x
99.908466819222=x
x=99.908466819222

now we have:
218.3 is 99.908466819222% of 218.5