What is 32.23 percent of 34.56 - 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 34.56 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 34.56 is 100%, so we can write it down as 34.56=100%.
4. We know, that x is 32.23% of the output value, so we can write it down as x=32.23%.
5. Now we have two simple equations:
1) 34.56=100%
2) x=32.23%
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:
34.56/x=100%/32.23%
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 32.23% of 34.56

34.56/x=100/32.23
(34.56/x)*x=(100/32.23)*x       - we multiply both sides of the equation by x
34.56=3.1026993484331*x       - we divide both sides of the equation by (3.1026993484331) to get x
34.56/3.1026993484331=x
11.138688=x
x=11.138688

now we have:
32.23% of 34.56=11.138688