2 is what percent of 9877 - 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 9877 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 9877, so we can write it down as 100%=9877.
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%=9877
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%=9877/2
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 9877

100%/x%=9877/2
(100/x)*x=(9877/2)*x       - we multiply both sides of the equation by x
100=4938.5*x       - we divide both sides of the equation by (4938.5) to get x
100/4938.5=x
0.020249063480814=x
x=0.020249063480814

now we have:
2 is 0.020249063480814% of 9877

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