3 is what percent of 137 - 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 137 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 137, so we can write it down as 100%=137.
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%=137
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%=137/3
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 137

100%/x%=137/3
(100/x)*x=(137/3)*x       - we multiply both sides of the equation by x
100=45.6666666667*x       - we divide both sides of the equation by (45.6666666667) to get x
100/45.6666666667=x
2.1897810219=x
x=2.1897810219

now we have:
3 is 2.1897810219% of 137

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