Question

What percent of 120 is 28.8

Answer 1

34.56

Explanation:

Step 1 : Our output value is 120.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,120= 100%.

Step 4: Similarity, x=28.8%

Step 5 : This results in a pair of simple equations:

120=100%(1)

x=28.8% (2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS(right hand side) of both equations have the same unit (%); we have

Step 7: Again the reciprocal or both sides gives

X under 120 = 28.8% under 100

=34.56

Therefore , 28.8% of 120 is 34.56.

Answer 2

24

Explanation:

Step 1: We make the assumption that 120 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 $100\%=120$.

Step 4: In the same vein, $x\%=28.8$.

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

$100\%=120(1)$.

$x\%=28.8(2)$.

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

$\frac{100\%}{x\%}=\frac{120}{28.8}$