246.5 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 246.5 of the output value, so we can write it down as x%=246.5.
5. Now we have two simple equations:
1) 100%=218.5
2) x%=246.5
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%=218.5/246.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 246.5 is what percent of 218.5

100%/x%=218.5/246.5
(100/x)*x=(218.5/246.5)*x       - we multiply both sides of the equation by x
100=0.88640973630832*x       - we divide both sides of the equation by (0.88640973630832) to get x
100/0.88640973630832=x
112.81464530892=x
x=112.81464530892

now we have:
246.5 is 112.81464530892% of 218.5