What is 109 percent of 101.6 - 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 101.6 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 101.6 is 100%, so we can write it down as 101.6=100%.
4. We know, that x is 109% of the output value, so we can write it down as x=109%.
5. Now we have two simple equations:
1) 101.6=100%
2) x=109%
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:
101.6/x=100%/109%
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 109% of 101.6

101.6/x=100/109
(101.6/x)*x=(100/109)*x       - we multiply both sides of the equation by x
101.6=0.91743119266055*x       - we divide both sides of the equation by (0.91743119266055) to get x
101.6/0.91743119266055=x
110.744=x
x=110.744

now we have:
109% of 101.6=110.744