18 is what percent of 6.685 - 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 6.685 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 6.685, so we can write it down as 100%=6.685.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=6.685
2) x%=18
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%=6.685/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 6.685

100%/x%=6.685/18
(100/x)*x=(6.685/18)*x       - we multiply both sides of the equation by x
100=0.37138888888889*x       - we divide both sides of the equation by (0.37138888888889) to get x
100/0.37138888888889=x
269.25953627524=x
x=269.25953627524

now we have:
18 is 269.25953627524% of 6.685