#### Solution for 112 is what percent of 379:

112:379*100 =

(112*100):379 =

11200:379 = 29.55

Now we have: 112 is what percent of 379 = 29.55

Question: 112 is what percent of 379?

Percentage solution with steps:

Step 1: We make the assumption that 379 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\%}={379}.

Step 4: In the same vein, {x\%}={112}.

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

{100\%}={379}(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{379}{112}

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

\frac{x\%}{100\%}=\frac{112}{379}

\Rightarrow{x} = {29.55\%}

Therefore, {112} is {29.55\%} of {379}.

#### Solution for 379 is what percent of 112:

379:112*100 =

(379*100):112 =

37900:112 = 338.39

Now we have: 379 is what percent of 112 = 338.39

Question: 379 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\%}={379}.

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

{100\%}={112}(1).

{x\%}={379}(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}{379}

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

\frac{x\%}{100\%}=\frac{379}{112}

\Rightarrow{x} = {338.39\%}

Therefore, {379} is {338.39\%} of {112}.

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