#### Solution for 383 is what percent of 744:

383:744*100 =

(383*100):744 =

38300:744 = 51.48

Now we have: 383 is what percent of 744 = 51.48

Question: 383 is what percent of 744?

Percentage solution with steps:

Step 1: We make the assumption that 744 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\%}={744}.

Step 4: In the same vein, {x\%}={383}.

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

{100\%}={744}(1).

{x\%}={383}(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{744}{383}

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

\frac{x\%}{100\%}=\frac{383}{744}

\Rightarrow{x} = {51.48\%}

Therefore, {383} is {51.48\%} of {744}.

#### Solution for 744 is what percent of 383:

744:383*100 =

(744*100):383 =

74400:383 = 194.26

Now we have: 744 is what percent of 383 = 194.26

Question: 744 is what percent of 383?

Percentage solution with steps:

Step 1: We make the assumption that 383 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\%}={383}.

Step 4: In the same vein, {x\%}={744}.

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

{100\%}={383}(1).

{x\%}={744}(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{383}{744}

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

\frac{x\%}{100\%}=\frac{744}{383}

\Rightarrow{x} = {194.26\%}

Therefore, {744} is {194.26\%} of {383}.

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