#### Solution for 112 is what percent of 383:

112:383*100 =

(112*100):383 =

11200:383 = 29.24

Now we have: 112 is what percent of 383 = 29.24

Question: 112 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\%}={112}.

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

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

{x\%}={112}(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}{112}

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

\frac{x\%}{100\%}=\frac{112}{383}

\Rightarrow{x} = {29.24\%}

Therefore, {112} is {29.24\%} of {383}.

#### Solution for 383 is what percent of 112:

383:112*100 =

(383*100):112 =

38300:112 = 341.96

Now we have: 383 is what percent of 112 = 341.96

Question: 383 is what percent of 112?

Percentage solution with steps:

Step 1: We make the assumption that 112 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\%}={112}.

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

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

{100\%}={112}(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{112}{383}

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

\frac{x\%}{100\%}=\frac{383}{112}

\Rightarrow{x} = {341.96\%}

Therefore, {383} is {341.96\%} of {112}.

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