#### Solution for 33 is what percent of 44.2:

33:44.2*100 =

(33*100):44.2 =

3300:44.2 = 74.660633484163

Now we have: 33 is what percent of 44.2 = 74.660633484163

Question: 33 is what percent of 44.2?

Percentage solution with steps:

Step 1: We make the assumption that 44.2 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\%}={44.2}.

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

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

{100\%}={44.2}(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{44.2}{33}

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

\frac{x\%}{100\%}=\frac{33}{44.2}

\Rightarrow{x} = {74.660633484163\%}

Therefore, {33} is {74.660633484163\%} of {44.2}.

#### Solution for 44.2 is what percent of 33:

44.2:33*100 =

(44.2*100):33 =

4420:33 = 133.93939393939

Now we have: 44.2 is what percent of 33 = 133.93939393939

Question: 44.2 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\%}={44.2}.

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

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

{x\%}={44.2}(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}{44.2}

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

\frac{x\%}{100\%}=\frac{44.2}{33}

\Rightarrow{x} = {133.93939393939\%}

Therefore, {44.2} is {133.93939393939\%} of {33}.

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