What is 12.6 percent of 4229.4 - 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 4229.4 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 4229.4 is 100%, so we can write it down as 4229.4=100%.
4. We know, that x is 12.6% of the output value, so we can write it down as x=12.6%.
5. Now we have two simple equations:
1) 4229.4=100%
2) x=12.6%
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:
4229.4/x=100%/12.6%
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 12.6% of 4229.4

4229.4/x=100/12.6
(4229.4/x)*x=(100/12.6)*x       - we multiply both sides of the equation by x
4229.4=7.9365079365079*x       - we divide both sides of the equation by (7.9365079365079) to get x
4229.4/7.9365079365079=x
532.9044=x
x=532.9044

now we have:
12.6% of 4229.4=532.9044