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Solution for 16 is what percent of 33:

16:33*100 =

(16*100):33 =

1600:33 = 48.48

Now we have: 16 is what percent of 33 = 48.48

Question: 16 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 33 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\%}={33}.

Step 4: In the same vein, {x\%}={16}.

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

{100\%}={33}(1).

{x\%}={16}(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{33}{16}

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

\frac{x\%}{100\%}=\frac{16}{33}

\Rightarrow{x} = {48.48\%}

Therefore, {16} is {48.48\%} of {33}.

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Solution for 33 is what percent of 16:

33:16*100 =

(33*100):16 =

3300:16 = 206.25

Now we have: 33 is what percent of 16 = 206.25

Question: 33 is what percent of 16?

Percentage solution with steps:

Step 1: We make the assumption that 16 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}.

Step 4: In the same vein, {x\%}={33}.

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

{100\%}={16}(1).

{x\%}={33}(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}{33}

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

\frac{x\%}{100\%}=\frac{33}{16}

\Rightarrow{x} = {206.25\%}

Therefore, {33} is {206.25\%} of {16}.