Question

Original: $110 New: $59 %Decrease:__________

Answer 1

Answer:

46.36% or 46% (rounded)

Step-by-step explanation:

110-59=51

Question now: What percent of 110 is 51

Step 1: We make the assumption that 110 is 100% since it is our output value.

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

tep 3: From step 1, it follows that 100%= 110.

Step 4: In the same vein, x%=51.

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

100% = 110(1)

x%=51(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%/x%=110/51

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

x%/100%=51/110

⇒=46.36%

Answer 2

Answer:

46.36%

Step-by-step explanation:

Original: 110

New: 59

Percent Decrease: x

110 - 59 = 51

51/110 ≈ 46.3636... ≈ 46.36%

-Chetan K