What is 98.25 percent of 108.65 - 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 108.65 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 108.65 is 100%, so we can write it down as 108.65=100%.
4. We know, that x is 98.25% of the output value, so we can write it down as x=98.25%.
5. Now we have two simple equations:
1) 108.65=100%
2) x=98.25%
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:
108.65/x=100%/98.25%
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 98.25% of 108.65

108.65/x=100/98.25
(108.65/x)*x=(100/98.25)*x       - we multiply both sides of the equation by x
108.65=1.0178117048346*x       - we divide both sides of the equation by (1.0178117048346) to get x
108.65/1.0178117048346=x
106.748625=x
x=106.748625

now we have:
98.25% of 108.65=106.748625