What is 30.08 percent of 107.74 - 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 107.74 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 107.74 is 100%, so we can write it down as 107.74=100%.
4. We know, that x is 30.08% of the output value, so we can write it down as x=30.08%.
5. Now we have two simple equations:
1) 107.74=100%
2) x=30.08%
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:
107.74/x=100%/30.08%
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 30.08% of 107.74

107.74/x=100/30.08
(107.74/x)*x=(100/30.08)*x       - we multiply both sides of the equation by x
107.74=3.3244680851064*x       - we divide both sides of the equation by (3.3244680851064) to get x
107.74/3.3244680851064=x
32.408192=x
x=32.408192

now we have:
30.08% of 107.74=32.408192