18.9 is what percent of 314.85 - 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 314.85 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 314.85, so we can write it down as 100%=314.85.
4. We know, that x% equals 18.9 of the output value, so we can write it down as x%=18.9.
5. Now we have two simple equations:
1) 100%=314.85
2) x%=18.9
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%=314.85/18.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.9 is what percent of 314.85

100%/x%=314.85/18.9
(100/x)*x=(314.85/18.9)*x       - we multiply both sides of the equation by x
100=16.65873015873*x       - we divide both sides of the equation by (16.65873015873) to get x
100/16.65873015873=x
6.0028585040495=x
x=6.0028585040495

now we have:
18.9 is 6.0028585040495% of 314.85