What is 7.75 percent of 101.7 - 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 101.7 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 101.7 is 100%, so we can write it down as 101.7=100%.
4. We know, that x is 7.75% of the output value, so we can write it down as x=7.75%.
5. Now we have two simple equations:
1) 101.7=100%
2) x=7.75%
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:
101.7/x=100%/7.75%
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 7.75% of 101.7

101.7/x=100/7.75
(101.7/x)*x=(100/7.75)*x       - we multiply both sides of the equation by x
101.7=12.903225806452*x       - we divide both sides of the equation by (12.903225806452) to get x
101.7/12.903225806452=x
7.88175=x
x=7.88175

now we have:
7.75% of 101.7=7.88175