#### Solution for 112 is what percent of 328:

112:328*100 =

(112*100):328 =

11200:328 = 34.15

Now we have: 112 is what percent of 328 = 34.15

Question: 112 is what percent of 328?

Percentage solution with steps:

Step 1: We make the assumption that 328 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\%}={328}.

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

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

{100\%}={328}(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{328}{112}

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

\frac{x\%}{100\%}=\frac{112}{328}

\Rightarrow{x} = {34.15\%}

Therefore, {112} is {34.15\%} of {328}.

#### Solution for 328 is what percent of 112:

328:112*100 =

(328*100):112 =

32800:112 = 292.86

Now we have: 328 is what percent of 112 = 292.86

Question: 328 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\%}={328}.

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

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

{x\%}={328}(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}{328}

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

\frac{x\%}{100\%}=\frac{328}{112}

\Rightarrow{x} = {292.86\%}

Therefore, {328} is {292.86\%} of {112}.

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