Answer:
Step-by-step explanation:
Solution for 468 is what percent of 486:
468:486*100 =
(468*100):486 =
46800:486 = 96.3
Now we have: 468 is what percent of 486 = 96.3
Question: 468 is what percent of 486?
Percentage solution with steps:
Step 1: We make the assumption that 486 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 $100\%=486$.
Step 4: In the same vein, $x\%=468$.
Step 5: This gives us a pair of simple equations:
$100\%=486(1)$.
$x\%=468(2)$.
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
$frac{100%}{x%}=frac{486}{468}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$frac{x%}{100%}=\frac{468}{486}$
$Rightarrow x=96.3%$
Therefore, $468$ is $96.3%$ of $486$.
