18 is what percent of 505 - 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 505 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 505, so we can write it down as 100%=505.
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%=505
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%=505/18
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 505

100%/x%=505/18
(100/x)*x=(505/18)*x       - we multiply both sides of the equation by x
100=28.055555555556*x       - we divide both sides of the equation by (28.055555555556) to get x
100/28.055555555556=x
3.5643564356436=x
x=3.5643564356436

now we have:
18 is 3.5643564356436% of 505