What is 89.18 percent of 10.95 - 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 10.95 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 10.95 is 100%, so we can write it down as 10.95=100%.
4. We know, that x is 89.18% of the output value, so we can write it down as x=89.18%.
5. Now we have two simple equations:
1) 10.95=100%
2) x=89.18%
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:
10.95/x=100%/89.18%
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 89.18% of 10.95

10.95/x=100/89.18
(10.95/x)*x=(100/89.18)*x       - we multiply both sides of the equation by x
10.95=1.1213276519399*x       - we divide both sides of the equation by (1.1213276519399) to get x
10.95/1.1213276519399=x
9.76521=x
x=9.76521

now we have:
89.18% of 10.95=9.76521