98.5 is what percent of 128 - 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 128 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 128, so we can write it down as 100%=128.
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%=128
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%=128/98.5
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 128

100%/x%=128/98.5
(100/x)*x=(128/98.5)*x       - we multiply both sides of the equation by x
100=1.2994923857868*x       - we divide both sides of the equation by (1.2994923857868) to get x
100/1.2994923857868=x
76.953125=x
x=76.953125

now we have:
98.5 is 76.953125% of 128