What is 12 percent of 9.835 - 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 9.835 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 9.835 is 100%, so we can write it down as 9.835=100%.
4. We know, that x is 12% of the output value, so we can write it down as x=12%.
5. Now we have two simple equations:
1) 9.835=100%
2) x=12%
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:
9.835/x=100%/12%
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 12% of 9.835

9.835/x=100/12
(9.835/x)*x=(100/12)*x       - we multiply both sides of the equation by x
9.835=8.3333333333333*x       - we divide both sides of the equation by (8.3333333333333) to get x
9.835/8.3333333333333=x
1.1802=x
x=1.1802

now we have:
12% of 9.835=1.1802