Question

33 managers and 27 non-managers attended a company meeting. What percentage of the people in the meeting were managers?

Answer 1

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.