#### Solution for 66.5 is what percent of 80:

66.5:80*100 =

(66.5*100):80 =

6650:80 = 83.125

Now we have: 66.5 is what percent of 80 = 83.125

Question: 66.5 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

Step 4: In the same vein, {x\%}={66.5}.

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

{100\%}={80}(1).

{x\%}={66.5}(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{80}{66.5}

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

\frac{x\%}{100\%}=\frac{66.5}{80}

\Rightarrow{x} = {83.125\%}

Therefore, {66.5} is {83.125\%} of {80}.

#### Solution for 80 is what percent of 66.5:

80:66.5*100 =

(80*100):66.5 =

8000:66.5 = 120.3007518797

Now we have: 80 is what percent of 66.5 = 120.3007518797

Question: 80 is what percent of 66.5?

Percentage solution with steps:

Step 1: We make the assumption that 66.5 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\%}={66.5}.

Step 4: In the same vein, {x\%}={80}.

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

{100\%}={66.5}(1).

{x\%}={80}(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{66.5}{80}

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

\frac{x\%}{100\%}=\frac{80}{66.5}

\Rightarrow{x} = {120.3007518797\%}

Therefore, {80} is {120.3007518797\%} of {66.5}.

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