What is 9.91 percent of 0.119 - 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 0.119 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 0.119 is 100%, so we can write it down as 0.119=100%.
4. We know, that x is 9.91% of the output value, so we can write it down as x=9.91%.
5. Now we have two simple equations:
1) 0.119=100%
2) x=9.91%
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:
0.119/x=100%/9.91%
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 9.91% of 0.119

0.119/x=100/9.91
(0.119/x)*x=(100/9.91)*x       - we multiply both sides of the equation by x
0.119=10.090817356206*x       - we divide both sides of the equation by (10.090817356206) to get x
0.119/10.090817356206=x
0.0117929=x
x=0.0117929

now we have:
9.91% of 0.119=0.0117929