What is 12.740740740741 percent of 3874 - 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 3874 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 3874 is 100%, so we can write it down as 3874=100%.
4. We know, that x is 12.740740740741% of the output value, so we can write it down as x=12.740740740741%.
5. Now we have two simple equations:
1) 3874=100%
2) x=12.740740740741%
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:
3874/x=100%/12.740740740741%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 12.740740740741% of 3874

3874/x=100/12.740740740741
(3874/x)*x=(100/12.740740740741)*x       - we multiply both sides of the equation by x
3874=7.8488372093022*x       - we divide both sides of the equation by (7.8488372093022) to get x
3874/7.8488372093022=x
493.57629629631=x
x=493.57629629631

now we have:
12.740740740741% of 3874=493.57629629631