What is 82.64 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 82.64% of the output value, so we can write it down as x=82.64%.
5. Now we have two simple equations:
1) 1.1=100%
2) x=82.64%
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%/82.64%
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 82.64% of 1.1

1.1/x=100/82.64
(1.1/x)*x=(100/82.64)*x       - we multiply both sides of the equation by x
1.1=1.2100677637948*x       - we divide both sides of the equation by (1.2100677637948) to get x
1.1/1.2100677637948=x
0.90904=x
x=0.90904

now we have:
82.64% of 1.1=0.90904