18 is what percent of 3995 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3995 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 3995, so we can write it down as 100%=3995.
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%=3995
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%=3995/18
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 3995

100%/x%=3995/18
(100/x)*x=(3995/18)*x       - we multiply both sides of the equation by x
100=221.94444444444*x       - we divide both sides of the equation by (221.94444444444) to get x
100/221.94444444444=x
0.45056320400501=x
x=0.45056320400501

now we have:
18 is 0.45056320400501% of 3995

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