16 is what percent of 205 - 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 205 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 205, so we can write it down as 100%=205.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=205
2) x%=16
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%=205/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 205

100%/x%=205/16
(100/x)*x=(205/16)*x - we multiply both sides of the equation by x
100=12.8125*x - we divide both sides of the equation by (12.8125) to get x
100/12.8125=x
7.5=x
x=7.5

now we have:
16 is 7.5% of 205

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