#### Solution for 33 is what percent of 166:

33:166*100 =

(33*100):166 =

3300:166 = 19.88

Now we have: 33 is what percent of 166 = 19.88

Question: 33 is what percent of 166?

Percentage solution with steps:

Step 1: We make the assumption that 166 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\%}={166}.

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

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

{100\%}={166}(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{166}{33}

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

\frac{x\%}{100\%}=\frac{33}{166}

\Rightarrow{x} = {19.88\%}

Therefore, {33} is {19.88\%} of {166}.

#### Solution for 166 is what percent of 33:

166:33*100 =

(166*100):33 =

16600:33 = 503.03

Now we have: 166 is what percent of 33 = 503.03

Question: 166 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\%}={166}.

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

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

{x\%}={166}(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}{166}

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

\frac{x\%}{100\%}=\frac{166}{33}

\Rightarrow{x} = {503.03\%}

Therefore, {166} is {503.03\%} of {33}.

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