#### Solution for 44 is what percent of 61:

44:61*100 =

(44*100):61 =

4400:61 = 72.13

Now we have: 44 is what percent of 61 = 72.13

Question: 44 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 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\%}={61}.

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

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

{100\%}={61}(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{61}{44}

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

\frac{x\%}{100\%}=\frac{44}{61}

\Rightarrow{x} = {72.13\%}

Therefore, {44} is {72.13\%} of {61}.

#### Solution for 61 is what percent of 44:

61:44*100 =

(61*100):44 =

6100:44 = 138.64

Now we have: 61 is what percent of 44 = 138.64

Question: 61 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\%}={61}.

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

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

{x\%}={61}(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}{61}

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

\frac{x\%}{100\%}=\frac{61}{44}

\Rightarrow{x} = {138.64\%}

Therefore, {61} is {138.64\%} of {44}.

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