18.67 is what percent of 495 - 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 495 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 495, so we can write it down as 100%=495.
4. We know, that x% equals 18.67 of the output value, so we can write it down as x%=18.67.
5. Now we have two simple equations:
1) 100%=495
2) x%=18.67
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%=495/18.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.67 is what percent of 495

100%/x%=495/18.67
(100/x)*x=(495/18.67)*x       - we multiply both sides of the equation by x
100=26.513122656668*x       - we divide both sides of the equation by (26.513122656668) to get x
100/26.513122656668=x
3.7717171717172=x
x=3.7717171717172

now we have:
18.67 is 3.7717171717172% of 495