#### Solution for 44 is what percent of 30:

44:30*100 =

(44*100):30 =

4400:30 = 146.67

Now we have: 44 is what percent of 30 = 146.67

Question: 44 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

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

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

{100\%}={30}(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{30}{44}

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

\frac{x\%}{100\%}=\frac{44}{30}

\Rightarrow{x} = {146.67\%}

Therefore, {44} is {146.67\%} of {30}.

#### Solution for 30 is what percent of 44:

30:44*100 =

(30*100):44 =

3000:44 = 68.18

Now we have: 30 is what percent of 44 = 68.18

Question: 30 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\%}={30}.

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

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

{x\%}={30}(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}{30}

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

\frac{x\%}{100\%}=\frac{30}{44}

\Rightarrow{x} = {68.18\%}

Therefore, {30} is {68.18\%} of {44}.

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