What is 1.1858 percent of 9.8 - 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 9.8 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 9.8 is 100%, so we can write it down as 9.8=100%.
4. We know, that x is 1.1858% of the output value, so we can write it down as x=1.1858%.
5. Now we have two simple equations:
1) 9.8=100%
2) x=1.1858%
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:
9.8/x=100%/1.1858%
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 1.1858% of 9.8

9.8/x=100/1.1858
(9.8/x)*x=(100/1.1858)*x       - we multiply both sides of the equation by x
9.8=84.331253162422*x       - we divide both sides of the equation by (84.331253162422) to get x
9.8/84.331253162422=x
0.1162084=x
x=0.1162084

now we have:
1.1858% of 9.8=0.1162084