#### Solution for 33 is what percent of 178:

33:178*100 =

(33*100):178 =

3300:178 = 18.54

Now we have: 33 is what percent of 178 = 18.54

Question: 33 is what percent of 178?

Percentage solution with steps:

Step 1: We make the assumption that 178 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\%}={178}.

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

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

{100\%}={178}(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{178}{33}

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

\frac{x\%}{100\%}=\frac{33}{178}

\Rightarrow{x} = {18.54\%}

Therefore, {33} is {18.54\%} of {178}.

#### Solution for 178 is what percent of 33:

178:33*100 =

(178*100):33 =

17800:33 = 539.39

Now we have: 178 is what percent of 33 = 539.39

Question: 178 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\%}={178}.

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

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

{x\%}={178}(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}{178}

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

\frac{x\%}{100\%}=\frac{178}{33}

\Rightarrow{x} = {539.39\%}

Therefore, {178} is {539.39\%} of {33}.

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