67 is what percent of 1386 - 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 1386 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 1386, so we can write it down as 100%=1386.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=1386
2) x%=67
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%=1386/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 1386

100%/x%=1386/67
(100/x)*x=(1386/67)*x       - we multiply both sides of the equation by x
100=20.686567164179*x       - we divide both sides of the equation by (20.686567164179) to get x
100/20.686567164179=x
4.8340548340548=x
x=4.8340548340548

now we have:
67 is 4.8340548340548% of 1386