1.1 is what percent of 32.19 - 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 32.19 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 32.19, so we can write it down as 100%=32.19.
4. We know, that x% equals 1.1 of the output value, so we can write it down as x%=1.1.
5. Now we have two simple equations:
1) 100%=32.19
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:
100%/x%=32.19/1.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.1 is what percent of 32.19

100%/x%=32.19/1.1
(100/x)*x=(32.19/1.1)*x       - we multiply both sides of the equation by x
100=29.263636363636*x       - we divide both sides of the equation by (29.263636363636) to get x
100/29.263636363636=x
3.417210313762=x
x=3.417210313762

now we have:
1.1 is 3.417210313762% of 32.19