What is 98.8 percent of 102.6 - 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 102.6 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 102.6 is 100%, so we can write it down as 102.6=100%.
4. We know, that x is 98.8% of the output value, so we can write it down as x=98.8%.
5. Now we have two simple equations:
1) 102.6=100%
2) x=98.8%
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:
102.6/x=100%/98.8%
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 98.8% of 102.6

102.6/x=100/98.8
(102.6/x)*x=(100/98.8)*x       - we multiply both sides of the equation by x
102.6=1.0121457489879*x       - we divide both sides of the equation by (1.0121457489879) to get x
102.6/1.0121457489879=x
101.3688=x
x=101.3688

now we have:
98.8% of 102.6=101.3688