What percent of $805.00 is $402.50?

Step 1: We make the assumption that 805. 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\%=805.$100%=805..

Step 4: In the same vein, $x\%=402.5$x%=402.5.

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

$100\%=805.(1)$100%=805.(1).

$x\%=402.5(2)$x%=402.5(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

$\frac{100\%}{x\%}=\frac{805.}{402.5}$
100%
x%=
805.
402.5

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

$\frac{x\%}{100\%}=\frac{402.5}{805.}$
x%
100%=
402.5
805.

$\Rightarrow x=50\%$⇒x=50%

Therefore, $402.5$402.5 is $50\%$50% of $805.$805..