What is 21.3 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 21.3% of the output value, so we can write it down as x=21.3%.
5. Now we have two simple equations:
1) 29.4=100%
2) x=21.3%
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%/21.3%
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 21.3% of 29.4

29.4/x=100/21.3
(29.4/x)*x=(100/21.3)*x       - we multiply both sides of the equation by x
29.4=4.6948356807512*x       - we divide both sides of the equation by (4.6948356807512) to get x
29.4/4.6948356807512=x
6.2622=x
x=6.2622

now we have:
21.3% of 29.4=6.2622