18 is what percent of 99 - 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 99 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 99, so we can write it down as 100%=99.
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%=99
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%=99/18
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 99

100%/x%=99/18
(100/x)*x=(99/18)*x - we multiply both sides of the equation by x
100=5.5*x - we divide both sides of the equation by (5.5) to get x
100/5.5=x
18.1818181818=x
x=18.1818181818

now we have:
18 is 18.1818181818% of 99

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