What is 22.6 percent of 29.4 - 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 29.4 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 29.4 is 100%, so we can write it down as 29.4=100%.
4. We know, that x is 22.6% of the output value, so we can write it down as x=22.6%.
5. Now we have two simple equations:
1) 29.4=100%
2) x=22.6%
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:
29.4/x=100%/22.6%
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 22.6% of 29.4

29.4/x=100/22.6
(29.4/x)*x=(100/22.6)*x       - we multiply both sides of the equation by x
29.4=4.4247787610619*x       - we divide both sides of the equation by (4.4247787610619) to get x
29.4/4.4247787610619=x
6.6444=x
x=6.6444

now we have:
22.6% of 29.4=6.6444