24: 80*100 =
( 24*100): 80 =
2400: 80 = 30
Now we have: 24 is what percent of 80 = 30
Question: 24 is what percent of 80?
Percentage solution with steps:
Step 1: We make the assumption that 80 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=80$100%=80.
Step 4: In the same vein, $x\%=24$x%=24.
Step 5: This gives us a pair of simple equations:
$100\%=80(1)$100%=80(1).
$x\%=24(2)$x%=24(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{80}{24}$100%x%=8024
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{24}{80}$x%100%=2480
$\Rightarrow x=30\%$⇒x=30%
Therefore, $24$24 is $30\%$30% of $80$80.
