What is 8 percent of 105.7 - 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 105.7 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 105.7 is 100%, so we can write it down as 105.7=100%.
4. We know, that x is 8% of the output value, so we can write it down as x=8%.
5. Now we have two simple equations:
1) 105.7=100%
2) x=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:
105.7/x=100%/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 8% of 105.7

105.7/x=100/8
(105.7/x)*x=(100/8)*x       - we multiply both sides of the equation by x
105.7=12.5*x       - we divide both sides of the equation by (12.5) to get x
105.7/12.5=x
8.456=x
x=8.456

now we have:
8% of 105.7=8.456