9 is what percent of 12167 - 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 12167 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 12167, so we can write it down as 100%=12167.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=12167
2) x%=9
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%=12167/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 12167

100%/x%=12167/9
(100/x)*x=(12167/9)*x       - we multiply both sides of the equation by x
100=1351.8888888889*x       - we divide both sides of the equation by (1351.8888888889) to get x
100/1351.8888888889=x
0.073970576148599=x
x=0.073970576148599

now we have:
9 is 0.073970576148599% of 12167

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