Question

30% of 40% is 20% of what percent???

Answer 1

You multiply the opposite sides of the comparison, 40 times 20, 800, then divide by 30. 26.66 percent

Answer 2

First, we'd want to understand this in more mathematical means. We should understand that each percent can be changed into fraction or decimal means. For example, 1% would be equivalent to $0.01$, 30% would thus be equal to $0.3$. We'd want to convert the equation from English means to fractional and decimal means. We know that the word "of" means to multiple, so we want to multiply our 30% by 40% and the word "is" is simply an equal sign. After transforming to decimal means, we will get:

$0.3 * 0.4 = 0.2x$

Here, we define our "what percent" by $x$ as an unknown variable. We can simplify this equation by multiplying $0.3$ by $0.4$. When doing so, we will get:

$0.12 = 0.2x$

Hereon forth, we can simply divide both sides by 0.2

$\frac{0.12}{0.2} = \frac{0.2x}{0.2}$

⇒ $0.6 = x$

Turning 0.6 into a percentage again will be simple, you will have to move the decimal point over to the right by 2 spaces, landing you with the final answer of 60%!

Hope this helps, if there are any errors or issues, please let me know in the comments!