Answer:
82.5
Step-by-step explanation:
Step 1: We make the assumption that 200 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 200.
Step 4: In the same vein, x % = 165 .
Step 5: This gives us a pair of simple equations:
100 % = 200(1).
x % = 165(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
100 % / x % = 200/165
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 165/200
x = 82.5 %
