#### Solution for 11 is what percent of 44:

11:44*100 =

(11*100):44 =

1100:44 = 25

Now we have: 11 is what percent of 44 = 25

Question: 11 is what percent of 44?

Percentage solution with steps:

Step 1: We make the assumption that 44 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}.

Step 4: In the same vein, {x\%}={11}.

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

{100\%}={44}(1).

{x\%}={11}(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}{11}

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

\frac{x\%}{100\%}=\frac{11}{44}

\Rightarrow{x} = {25\%}

Therefore, {11} is {25\%} of {44}.

#### Solution for 44 is what percent of 11:

44:11*100 =

(44*100):11 =

4400:11 = 400

Now we have: 44 is what percent of 11 = 400

Question: 44 is what percent of 11?

Percentage solution with steps:

Step 1: We make the assumption that 11 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\%}={11}.

Step 4: In the same vein, {x\%}={44}.

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

{100\%}={11}(1).

{x\%}={44}(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{11}{44}

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

\frac{x\%}{100\%}=\frac{44}{11}

\Rightarrow{x} = {400\%}

Therefore, {44} is {400\%} of {11}.

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