#### Solution for 33.33 is what percent of 100:

33.33:100*100 =

(33.33*100):100 =

3333:100 = 33.33

Now we have: 33.33 is what percent of 100 = 33.33

Question: 33.33 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\%}={33.33}.

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

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

{x\%}={33.33}(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}{33.33}

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

\frac{x\%}{100\%}=\frac{33.33}{100}

\Rightarrow{x} = {33.33\%}

Therefore, {33.33} is {33.33\%} of {100}.

#### Solution for 100 is what percent of 33.33:

100:33.33*100 =

(100*100):33.33 =

10000:33.33 = 300.0300030003

Now we have: 100 is what percent of 33.33 = 300.0300030003

Question: 100 is what percent of 33.33?

Percentage solution with steps:

Step 1: We make the assumption that 33.33 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\%}={33.33}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={33.33}(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{33.33}{100}

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

\frac{x\%}{100\%}=\frac{100}{33.33}

\Rightarrow{x} = {300.0300030003\%}

Therefore, {100} is {300.0300030003\%} of {33.33}.

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