What is 1.09 percent of 10.99 - 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 10.99 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 10.99 is 100%, so we can write it down as 10.99=100%.
4. We know, that x is 1.09% of the output value, so we can write it down as x=1.09%.
5. Now we have two simple equations:
1) 10.99=100%
2) x=1.09%
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:
10.99/x=100%/1.09%
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 1.09% of 10.99

10.99/x=100/1.09
(10.99/x)*x=(100/1.09)*x       - we multiply both sides of the equation by x
10.99=91.743119266055*x       - we divide both sides of the equation by (91.743119266055) to get x
10.99/91.743119266055=x
0.119791=x
x=0.119791

now we have:
1.09% of 10.99=0.119791