Answer:
Step-by-step explanation:
11.5:8*100 =
(11.5*100):8 =
1150:8 = 143.75
Now we have: 11.5 is what percent of 8 = 143.75
Question: 11.5 is what percent of 8?
Percentage solution with steps:
Step 1: We make the assumption that 8 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 $100\%=8$.
Step 4: In the same vein, $x\%=11.5$.
Step 5: This gives us a pair of simple equations:
$100\%=8(1)$.
$x\%=11.5(2)$.
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
$\frac{100\%}{x\%}=\frac{8}{11.5}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{11.5}{8}$
x=143.75%
Therefore, 11.5 is 143.75% of 8.
