0.83 is what 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 100% equals 1.1, so we can write it down as 100%=1.1.
4. We know, that x% equals 0.83 of the output value, so we can write it down as x%=0.83.
5. Now we have two simple equations:
1) 100%=1.1
2) x%=0.83
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:
100%/x%=1.1/0.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.83 is what percent of 1.1

100%/x%=1.1/0.83
(100/x)*x=(1.1/0.83)*x       - we multiply both sides of the equation by x
100=1.3253012048193*x       - we divide both sides of the equation by (1.3253012048193) to get x
100/1.3253012048193=x
75.454545454545=x
x=75.454545454545

now we have:
0.83 is 75.454545454545% of 1.1