What is 168 percent of 10.9 - 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 10.9 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 10.9 is 100%, so we can write it down as 10.9=100%.
4. We know, that x is 168% of the output value, so we can write it down as x=168%.
5. Now we have two simple equations:
1) 10.9=100%
2) x=168%
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:
10.9/x=100%/168%
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 168% of 10.9

10.9/x=100/168
(10.9/x)*x=(100/168)*x       - we multiply both sides of the equation by x
10.9=0.595238095238*x       - we divide both sides of the equation by (0.595238095238) to get x
10.9/0.595238095238=x
18.312=x
x=18.312

now we have:
168% of 10.9=18.312