#### Solution for 33. is what percent of 100:

33.:100*100 =

(33.*100):100 =

3300:100 = 33

Now we have: 33. is what percent of 100 = 33

Question: 33. is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

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

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

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

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

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

\Rightarrow{x} = {33\%}

Therefore, {33.} is {33\%} of {100}.

#### Solution for 100 is what percent of 33.:

100:33.*100 =

(100*100):33. =

10000:33. = 303.0303030303

Now we have: 100 is what percent of 33. = 303.0303030303

Question: 100 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\%}={100}.

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

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

{x\%}={100}(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.}{100}

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

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

\Rightarrow{x} = {303.0303030303\%}

Therefore, {100} is {303.0303030303\%} of {33.}.

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