98.5 is what percent of 227.5 - 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 227.5 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 227.5, so we can write it down as 100%=227.5.
4. We know, that x% equals 98.5 of the output value, so we can write it down as x%=98.5.
5. Now we have two simple equations:
1) 100%=227.5
2) x%=98.5
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%=227.5/98.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.5 is what percent of 227.5

100%/x%=227.5/98.5
(100/x)*x=(227.5/98.5)*x       - we multiply both sides of the equation by x
100=2.3096446700508*x       - we divide both sides of the equation by (2.3096446700508) to get x
100/2.3096446700508=x
43.296703296703=x
x=43.296703296703

now we have:
98.5 is 43.296703296703% of 227.5