12.74 is what percent of 424.68 - 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 424.68 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 424.68, so we can write it down as 100%=424.68.
4. We know, that x% equals 12.74 of the output value, so we can write it down as x%=12.74.
5. Now we have two simple equations:
1) 100%=424.68
2) x%=12.74
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%=424.68/12.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.74 is what percent of 424.68

100%/x%=424.68/12.74
(100/x)*x=(424.68/12.74)*x       - we multiply both sides of the equation by x
100=33.334379905808*x       - we divide both sides of the equation by (33.334379905808) to get x
100/33.334379905808=x
2.9999058114345=x
x=2.9999058114345

now we have:
12.74 is 2.9999058114345% of 424.68