What is 333.33 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 333.33% of the output value, so we can write it down as x=333.33%.
5. Now we have two simple equations:
1) 1.1=100%
2) x=333.33%
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%/333.33%
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 333.33% of 1.1

1.1/x=100/333.33
(1.1/x)*x=(100/333.33)*x       - we multiply both sides of the equation by x
1.1=0.30000300003*x       - we divide both sides of the equation by (0.30000300003) to get x
1.1/0.30000300003=x
3.66663=x
x=3.66663

now we have:
333.33% of 1.1=3.66663