#### Solution for 6.5 is what percent of 16.5:

6.5:16.5*100 =

(6.5*100):16.5 =

650:16.5 = 39.393939393939

Now we have: 6.5 is what percent of 16.5 = 39.393939393939

Question: 6.5 is what percent of 16.5?

Percentage solution with steps:

Step 1: We make the assumption that 16.5 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\%}={16.5}.

Step 4: In the same vein, {x\%}={6.5}.

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

{100\%}={16.5}(1).

{x\%}={6.5}(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{16.5}{6.5}

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

\frac{x\%}{100\%}=\frac{6.5}{16.5}

\Rightarrow{x} = {39.393939393939\%}

Therefore, {6.5} is {39.393939393939\%} of {16.5}.

#### Solution for 16.5 is what percent of 6.5:

16.5:6.5*100 =

(16.5*100):6.5 =

1650:6.5 = 253.84615384615

Now we have: 16.5 is what percent of 6.5 = 253.84615384615

Question: 16.5 is what percent of 6.5?

Percentage solution with steps:

Step 1: We make the assumption that 6.5 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\%}={6.5}.

Step 4: In the same vein, {x\%}={16.5}.

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

{100\%}={6.5}(1).

{x\%}={16.5}(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{6.5}{16.5}

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

\frac{x\%}{100\%}=\frac{16.5}{6.5}

\Rightarrow{x} = {253.84615384615\%}

Therefore, {16.5} is {253.84615384615\%} of {6.5}.

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