74 is what percent of 12419 - 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 12419 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 12419, so we can write it down as 100%=12419.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=12419
2) x%=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%=12419/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 12419

100%/x%=12419/74
(100/x)*x=(12419/74)*x       - we multiply both sides of the equation by x
100=167.82432432432*x       - we divide both sides of the equation by (167.82432432432) to get x
100/167.82432432432=x
0.59586118044931=x
x=0.59586118044931

now we have:
74 is 0.59586118044931% of 12419