What is 1.1 percent of 10.6 - 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 10.6 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 10.6 is 100%, so we can write it down as 10.6=100%.
4. We know, that x is 1.1% of the output value, so we can write it down as x=1.1%.
5. Now we have two simple equations:
1) 10.6=100%
2) x=1.1%
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:
10.6/x=100%/1.1%
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 1.1% of 10.6

10.6/x=100/1.1
(10.6/x)*x=(100/1.1)*x       - we multiply both sides of the equation by x
10.6=90.909090909091*x       - we divide both sides of the equation by (90.909090909091) to get x
10.6/90.909090909091=x
0.1166=x
x=0.1166

now we have:
1.1% of 10.6=0.1166