#### Solution for 16.6 is what percent of 20:

16.6:20*100 =

(16.6*100):20 =

1660:20 = 83

Now we have: 16.6 is what percent of 20 = 83

Question: 16.6 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={16.6}.

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

{100\%}={20}(1).

{x\%}={16.6}(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{20}{16.6}

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

\frac{x\%}{100\%}=\frac{16.6}{20}

\Rightarrow{x} = {83\%}

Therefore, {16.6} is {83\%} of {20}.

#### Solution for 20 is what percent of 16.6:

20:16.6*100 =

(20*100):16.6 =

2000:16.6 = 120.48192771084

Now we have: 20 is what percent of 16.6 = 120.48192771084

Question: 20 is what percent of 16.6?

Percentage solution with steps:

Step 1: We make the assumption that 16.6 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\%}={16.6}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={16.6}(1).

{x\%}={20}(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{16.6}{20}

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

\frac{x\%}{100\%}=\frac{20}{16.6}

\Rightarrow{x} = {120.48192771084\%}

Therefore, {20} is {120.48192771084\%} of {16.6}.

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