What is 1.12 percent of 3.3 - 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 3.3 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 3.3 is 100%, so we can write it down as 3.3=100%.
4. We know, that x is 1.12% of the output value, so we can write it down as x=1.12%.
5. Now we have two simple equations:
1) 3.3=100%
2) x=1.12%
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:
3.3/x=100%/1.12%
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 1.12% of 3.3

3.3/x=100/1.12
(3.3/x)*x=(100/1.12)*x       - we multiply both sides of the equation by x
3.3=89.285714285714*x       - we divide both sides of the equation by (89.285714285714) to get x
3.3/89.285714285714=x
0.03696=x
x=0.03696

now we have:
1.12% of 3.3=0.03696