#### Solution for 44 is what percent of 120:

44:120*100 =

(44*100):120 =

4400:120 = 36.67

Now we have: 44 is what percent of 120 = 36.67

Question: 44 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

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

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

{100\%}={120}(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{120}{44}

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

\frac{x\%}{100\%}=\frac{44}{120}

\Rightarrow{x} = {36.67\%}

Therefore, {44} is {36.67\%} of {120}.

#### Solution for 120 is what percent of 44:

120:44*100 =

(120*100):44 =

12000:44 = 272.73

Now we have: 120 is what percent of 44 = 272.73

Question: 120 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\%}={120}.

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

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

{x\%}={120}(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}{120}

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

\frac{x\%}{100\%}=\frac{120}{44}

\Rightarrow{x} = {272.73\%}

Therefore, {120} is {272.73\%} of {44}.

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