#### Solution for 112 is what percent of 343:

112:343*100 =

(112*100):343 =

11200:343 = 32.65

Now we have: 112 is what percent of 343 = 32.65

Question: 112 is what percent of 343?

Percentage solution with steps:

Step 1: We make the assumption that 343 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\%}={343}.

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

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

{100\%}={343}(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{343}{112}

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

\frac{x\%}{100\%}=\frac{112}{343}

\Rightarrow{x} = {32.65\%}

Therefore, {112} is {32.65\%} of {343}.

#### Solution for 343 is what percent of 112:

343:112*100 =

(343*100):112 =

34300:112 = 306.25

Now we have: 343 is what percent of 112 = 306.25

Question: 343 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\%}={343}.

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

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

{x\%}={343}(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}{343}

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

\frac{x\%}{100\%}=\frac{343}{112}

\Rightarrow{x} = {306.25\%}

Therefore, {343} is {306.25\%} of {112}.

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