What is 109 percent of 29.5 - 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 29.5 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 29.5 is 100%, so we can write it down as 29.5=100%.
4. We know, that x is 109% of the output value, so we can write it down as x=109%.
5. Now we have two simple equations:
1) 29.5=100%
2) x=109%
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:
29.5/x=100%/109%
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 109% of 29.5

29.5/x=100/109
(29.5/x)*x=(100/109)*x       - we multiply both sides of the equation by x
29.5=0.91743119266055*x       - we divide both sides of the equation by (0.91743119266055) to get x
29.5/0.91743119266055=x
32.155=x
x=32.155

now we have:
109% of 29.5=32.155