27.5 is what percent of 12.4 - 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 12.4 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 100% equals 12.4, so we can write it down as 100%=12.4.
4. We know, that x% equals 27.5 of the output value, so we can write it down as x%=27.5.
5. Now we have two simple equations:
1) 100%=12.4
2) x%=27.5
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%=12.4/27.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.5 is what percent of 12.4

100%/x%=12.4/27.5
(100/x)*x=(12.4/27.5)*x       - we multiply both sides of the equation by x
100=0.45090909090909*x       - we divide both sides of the equation by (0.45090909090909) to get x
100/0.45090909090909=x
221.77419354839=x
x=221.77419354839

now we have:
27.5 is 221.77419354839% of 12.4