Answer:
81.82%
Step-by-step explanation:
Step 1: We make the assumption that 33 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\%=33$100%=33.
Step 4: In the same vein, $x\%=27$x%=27.
Step 5: This gives us a pair of simple equations:
$100\%=33(1)$100%=33(1).
$x\%=27(2)$x%=27(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{33}{27}$100%x%=3327
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{27}{33}$x%100%=2733
$\Rightarrow x=81.82\%$⇒x=81.82%
Therefore, $27$27 is $81.82\%$81.82% of $33$33.
