The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240
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 are specified that:
40% of N = 240
Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get
[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)
Now, solving it further to get value of N:
[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]
Thus, 40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600
Learn more about percent here:
https://brainly.com/question/11549320
