216.8 is what percent of 238.2 - 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 238.2 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 238.2, so we can write it down as 100%=238.2.
4. We know, that x% equals 216.8 of the output value, so we can write it down as x%=216.8.
5. Now we have two simple equations:
1) 100%=238.2
2) x%=216.8
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%=238.2/216.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.8 is what percent of 238.2

100%/x%=238.2/216.8
(100/x)*x=(238.2/216.8)*x       - we multiply both sides of the equation by x
100=1.0987084870849*x       - we divide both sides of the equation by (1.0987084870849) to get x
100/1.0987084870849=x
91.015952980689=x
x=91.015952980689

now we have:
216.8 is 91.015952980689% of 238.2