216.75 is what percent of 249.26 - 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 249.26 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 249.26, so we can write it down as 100%=249.26.
4. We know, that x% equals 216.75 of the output value, so we can write it down as x%=216.75.
5. Now we have two simple equations:
1) 100%=249.26
2) x%=216.75
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%=249.26/216.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.75 is what percent of 249.26

100%/x%=249.26/216.75
(100/x)*x=(249.26/216.75)*x       - we multiply both sides of the equation by x
100=1.1499884659746*x       - we divide both sides of the equation by (1.1499884659746) to get x
100/1.1499884659746=x
86.957393885902=x
x=86.957393885902

now we have:
216.75 is 86.957393885902% of 249.26