#### Solution for 75 is what percent of 383:

75:383*100 =

(75*100):383 =

7500:383 = 19.58

Now we have: 75 is what percent of 383 = 19.58

Question: 75 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\%}={75}.

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

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

{x\%}={75}(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}{75}

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

\frac{x\%}{100\%}=\frac{75}{383}

\Rightarrow{x} = {19.58\%}

Therefore, {75} is {19.58\%} of {383}.

#### Solution for 383 is what percent of 75:

383:75*100 =

(383*100):75 =

38300:75 = 510.67

Now we have: 383 is what percent of 75 = 510.67

Question: 383 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

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

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

{100\%}={75}(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{75}{383}

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

\frac{x\%}{100\%}=\frac{383}{75}

\Rightarrow{x} = {510.67\%}

Therefore, {383} is {510.67\%} of {75}.

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