Answer:
the answer is 90.2
Step-by-step explanation:
Step 1: We make the assumption that 55 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%=55
Step 4: In the same vein, x%=164
Step 5: This gives us a pair of simple equations:
100%=55(1)
x%=164(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{55}{164}
Step 7: Taking the inverse (or reciprocal) of both sides yields
frac{x%}{100%}=frac{164}{55}
x=298.18%
Therefore, 164 is 298.18% of 55
