What is 84.375 percent of 0.1168 - 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 0.1168 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 0.1168 is 100%, so we can write it down as 0.1168=100%.
4. We know, that x is 84.375% of the output value, so we can write it down as x=84.375%.
5. Now we have two simple equations:
1) 0.1168=100%
2) x=84.375%
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:
0.1168/x=100%/84.375%
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 84.375% of 0.1168

0.1168/x=100/84.375
(0.1168/x)*x=(100/84.375)*x       - we multiply both sides of the equation by x
0.1168=1.1851851851852*x       - we divide both sides of the equation by (1.1851851851852) to get x
0.1168/1.1851851851852=x
0.09855=x
x=0.09855

now we have:
84.375% of 0.1168=0.09855