#### Solution for 33 is what percent of 57:

33:57*100 =

(33*100):57 =

3300:57 = 57.89

Now we have: 33 is what percent of 57 = 57.89

Question: 33 is what percent of 57?

Percentage solution with steps:

Step 1: We make the assumption that 57 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\%}={57}.

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

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

{100\%}={57}(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{57}{33}

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

\frac{x\%}{100\%}=\frac{33}{57}

\Rightarrow{x} = {57.89\%}

Therefore, {33} is {57.89\%} of {57}.

#### Solution for 57 is what percent of 33:

57:33*100 =

(57*100):33 =

5700:33 = 172.73

Now we have: 57 is what percent of 33 = 172.73

Question: 57 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\%}={57}.

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

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

{x\%}={57}(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}{57}

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

\frac{x\%}{100\%}=\frac{57}{33}

\Rightarrow{x} = {172.73\%}

Therefore, {57} is {172.73\%} of {33}.

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