15 is what percent of 12?

1 Answer
Jan 16, 2017

15 is 125% of 12.

Explanation:

When translating a question from English to "math", it is useful to know what some key English words mean in math:

  • "is" means =
  • "percent" means xx 1/100
  • "of" means xx

With these key phrases in mind, it is not hard to translate the question:

color(grey)"15 is what percent of 12"
15="   "x xx 1/100"   "xx 12

Having translated the question into math, we can simplify and solve for x:

"        "15"      "=(12x)/100

(""^5cancel(15) * 100)/(""^4cancel(12)) = x

(5 * cancel(100)^25)/(cancel(4)^1) = x

"    "5 * 25"    "= x" "=125

So 15 is 125% of 12.

We can check this answer by asking, "What is 125% of 12?" (Using our translation method, this becomes y=125xx 1/100 xx 12.) You can see that this simplifies to finding the answer to 1.25 xx 12, which is indeed 15.