Question

Emma was ranked 54th in his graduating class of 296 students. At what percentile is Emma’s ranking?

Answer 1

Answer: 54 is 18.24% of 296

Explanation:

54:296*100 =

(54*100):296 =

5400:296 = 18.24

Now we have: 54 is what percent of 296 = 18.24

Question: 54 is what percent of 296?

Percentage solution with steps:

Step 1: We make the assumption that 296 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100% = 296

Step 4: In the same vein, x% = 54

Step 5: This gives us a pair of simple equations:

100% = 296 (1)

x% = 54 (2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have

100% over x% = 296 over 54

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% over 100% = 54 over 196

x=18.54