The number whose 0.2% is 8 is evaluated to be 4000
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we can assume the number be 'x' whose 0.2 percent is 8
Then, using the formula above, we have:
[tex]\dfrac{x}{100} \times 0.2 = 8\\\\\dfrac{x}{100} \times \dfrac{2}{10} = 8\\\\\dfrac{x}{500} = 8\\\\\text{Multiplying 500 on both the sides}\\\\x = 8 \times 500 = 4000[/tex]
Thus, the number whose 0.2% is 8 is evaluated to be 4000
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