What is 98.5 percent of 108.5 - 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 108.5 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 108.5 is 100%, so we can write it down as 108.5=100%.
4. We know, that x is 98.5% of the output value, so we can write it down as x=98.5%.
5. Now we have two simple equations:
1) 108.5=100%
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:
108.5/x=100%/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 what is 98.5% of 108.5

108.5/x=100/98.5
(108.5/x)*x=(100/98.5)*x       - we multiply both sides of the equation by x
108.5=1.0152284263959*x       - we divide both sides of the equation by (1.0152284263959) to get x
108.5/1.0152284263959=x
106.8725=x
x=106.8725

now we have:
98.5% of 108.5=106.8725