12.4 is what percent of 63.22 - 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 63.22 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 63.22, so we can write it down as 100%=63.22.
4. We know, that x% equals 12.4 of the output value, so we can write it down as x%=12.4.
5. Now we have two simple equations:
1) 100%=63.22
2) x%=12.4
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%=63.22/12.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.4 is what percent of 63.22

100%/x%=63.22/12.4
(100/x)*x=(63.22/12.4)*x       - we multiply both sides of the equation by x
100=5.0983870967742*x       - we divide both sides of the equation by (5.0983870967742) to get x
100/5.0983870967742=x
19.614046187915=x
x=19.614046187915

now we have:
12.4 is 19.614046187915% of 63.22