What is 22.4 percent of 34.32 - 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 34.32 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 34.32 is 100%, so we can write it down as 34.32=100%.
4. We know, that x is 22.4% of the output value, so we can write it down as x=22.4%.
5. Now we have two simple equations:
1) 34.32=100%
2) x=22.4%
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:
34.32/x=100%/22.4%
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 22.4% of 34.32

34.32/x=100/22.4
(34.32/x)*x=(100/22.4)*x       - we multiply both sides of the equation by x
34.32=4.4642857142857*x       - we divide both sides of the equation by (4.4642857142857) to get x
34.32/4.4642857142857=x
7.68768=x
x=7.68768

now we have:
22.4% of 34.32=7.68768