What is 7.975 percent of 106.1 - 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 106.1 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 106.1 is 100%, so we can write it down as 106.1=100%.
4. We know, that x is 7.975% of the output value, so we can write it down as x=7.975%.
5. Now we have two simple equations:
1) 106.1=100%
2) x=7.975%
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:
106.1/x=100%/7.975%
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 7.975% of 106.1

106.1/x=100/7.975
(106.1/x)*x=(100/7.975)*x       - we multiply both sides of the equation by x
106.1=12.539184952978*x       - we divide both sides of the equation by (12.539184952978) to get x
106.1/12.539184952978=x
8.461475=x
x=8.461475

now we have:
7.975% of 106.1=8.461475