Question

The number 40.8 is what percent of 68?​

Answer 1

Step 1: We make the assumption that 68 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\%=68$100%=68​.

Step 4: In the same vein, $x\%=40.8$x%=40.8​.

Step 5: This gives us a pair of simple equations:

$100\%=68(1)$100%=68(1)​.

$x\%=40.8(2)$x%=40.8(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

$\frac{100\%}{x\%}=\frac{68}{40.8}$
100%
x%​=
68
40.8​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{40.8}{68}$
x%
100%​=
40.8
68​​

$\Rightarrow x=60\%$⇒x=60%​

Therefore, $40.8$40.8​ is $60\%$60%​ of $68$68​.