12.4 is what percent of 815.14 - 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 815.14 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 815.14, so we can write it down as 100%=815.14.
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%=815.14
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%=815.14/12.4
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 815.14

100%/x%=815.14/12.4
(100/x)*x=(815.14/12.4)*x       - we multiply both sides of the equation by x
100=65.737096774194*x       - we divide both sides of the equation by (65.737096774194) to get x
100/65.737096774194=x
1.5212110803052=x
x=1.5212110803052

now we have:
12.4 is 1.5212110803052% of 815.14