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Solution for 112 is what percent of 13:

112:13*100 =

(112*100):13 =

11200:13 = 861.54

Now we have: 112 is what percent of 13 = 861.54

Question: 112 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

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

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

{100\%}={13}(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{13}{112}

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

\frac{x\%}{100\%}=\frac{112}{13}

\Rightarrow{x} = {861.54\%}

Therefore, {112} is {861.54\%} of {13}.

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Solution for 13 is what percent of 112:

13:112*100 =

(13*100):112 =

1300:112 = 11.61

Now we have: 13 is what percent of 112 = 11.61

Question: 13 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\%}={13}.

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

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

{x\%}={13}(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}{13}

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

\frac{x\%}{100\%}=\frac{13}{112}

\Rightarrow{x} = {11.61\%}

Therefore, {13} is {11.61\%} of {112}.