2 is what percent of 102049 - 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 102049 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 102049, so we can write it down as 100%=102049.
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%=102049
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%=102049/2
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 102049

100%/x%=102049/2
(100/x)*x=(102049/2)*x       - we multiply both sides of the equation by x
100=51024.5*x       - we divide both sides of the equation by (51024.5) to get x
100/51024.5=x
0.0019598428206058=x
x=0.0019598428206058

now we have:
2 is 0.0019598428206058% of 102049

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