# 80% of a number is 122, what if 40% of the number?

Because 40% is $\frac{1}{2}$ of 80%, therefore 61 (which is $\frac{1}{2}$ of 122) is 40% of the number.
Because 40% is $\frac{1}{2}$ of 80%, therefore 61 (which is $\frac{1}{2}$ of 122) is 40% of the number.