What is 1.15 percent of 1.1 - 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 1.1 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 1.1 is 100%, so we can write it down as 1.1=100%.
4. We know, that x is 1.15% of the output value, so we can write it down as x=1.15%.
5. Now we have two simple equations:
1) 1.1=100%
2) x=1.15%
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:
1.1/x=100%/1.15%
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 1.15% of 1.1

1.1/x=100/1.15
(1.1/x)*x=(100/1.15)*x       - we multiply both sides of the equation by x
1.1=86.95652173913*x       - we divide both sides of the equation by (86.95652173913) to get x
1.1/86.95652173913=x
0.01265=x
x=0.01265

now we have:
1.15% of 1.1=0.01265