3 is what percent of 12229 - 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 12229 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 12229, so we can write it down as 100%=12229.
4. We know, that x% equals 3 of the output value, so we can write it down as x%=3.
5. Now we have two simple equations:
1) 100%=12229
2) x%=3
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%=12229/3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3 is what percent of 12229

100%/x%=12229/3
(100/x)*x=(12229/3)*x       - we multiply both sides of the equation by x
100=4076.33333333*x       - we divide both sides of the equation by (4076.33333333) to get x
100/4076.33333333=x
0.0245318505193=x
x=0.0245318505193

now we have:
3 is 0.0245318505193% of 12229

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