Answer: 600
Step-by-step explanation: Let's first rewrite this problem to say 40% of what number is 240.
To answer the question 40% of what number is 240, we translate the question into an equation. First we have 40% which we need to write as a decimal. To write 40% as a decimal, we move the decimal point 2 places to the left. Filling in the missing position with a zero, we get 0<em>.</em>4.
Next we have "of what number" which means times <em>x</em>, "is 240" equals 240.
Now we have the equation (0.40)(x) = 240.
Now to solve for <em>x</em>, since <em>x</em> is being multiplied by 0.40, we need to divide by 0.40 on both sides of the equation. On the left side of the equation the 0.40's cancel and we have <em>x</em>. On the right side of the equation we have 240 divided by 0.40 which is 600.
This means that x = 600.
This means that 40% of 600 is 250.