2 is what percent of 3466 - 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 3466 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 3466, so we can write it down as 100%=3466.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=3466
2) x%=2
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%=3466/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 3466

100%/x%=3466/2
(100/x)*x=(3466/2)*x       - we multiply both sides of the equation by x
100=1733*x       - we divide both sides of the equation by (1733) to get x
100/1733=x
0.057703404500866=x
x=0.057703404500866

now we have:
2 is 0.057703404500866% of 3466

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