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 [tex] 0.01 [/tex], 30% would thus be equal to [tex] 0.3 [/tex]. 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:
[tex] 0.3 * 0.4 = 0.2x [/tex]
Here, we define our "what percent" by [tex] x [/tex] as an unknown variable. We can simplify this equation by multiplying [tex] 0.3 [/tex] by [tex] 0.4 [/tex]. When doing so, we will get:
[tex] 0.12 = 0.2x [/tex]
Hereon forth, we can simply divide both sides by 0.2
[tex] \frac{0.12}{0.2} = \frac{0.2x}{0.2} [/tex]
⇒ [tex] 0.6 = x [/tex]
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!
