What is 86 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 86% of the output value, so we can write it down as x=86%.
5. Now we have two simple equations:
1) 10.9=100%
2) x=86%
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%/86%
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 86% of 10.9

10.9/x=100/86
(10.9/x)*x=(100/86)*x       - we multiply both sides of the equation by x
10.9=1.1627906976744*x       - we divide both sides of the equation by (1.1627906976744) to get x
10.9/1.1627906976744=x
9.374=x
x=9.374

now we have:
86% of 10.9=9.374