12.9 is what percent of 281.62 - 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 281.62 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 100% equals 281.62, so we can write it down as 100%=281.62.
4. We know, that x% equals 12.9 of the output value, so we can write it down as x%=12.9.
5. Now we have two simple equations:
1) 100%=281.62
2) x%=12.9
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:
100%/x%=281.62/12.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.9 is what percent of 281.62

100%/x%=281.62/12.9
(100/x)*x=(281.62/12.9)*x       - we multiply both sides of the equation by x
100=21.831007751938*x       - we divide both sides of the equation by (21.831007751938) to get x
100/21.831007751938=x
4.5806405795043=x
x=4.5806405795043

now we have:
12.9 is 4.5806405795043% of 281.62