#### Solution for 81 is what percent of 112:

81:112*100 =

(81*100):112 =

8100:112 = 72.32

Now we have: 81 is what percent of 112 = 72.32

Question: 81 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\%}={81}.

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

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

{x\%}={81}(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}{81}

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

\frac{x\%}{100\%}=\frac{81}{112}

\Rightarrow{x} = {72.32\%}

Therefore, {81} is {72.32\%} of {112}.

#### Solution for 112 is what percent of 81:

112:81*100 =

(112*100):81 =

11200:81 = 138.27

Now we have: 112 is what percent of 81 = 138.27

Question: 112 is what percent of 81?

Percentage solution with steps:

Step 1: We make the assumption that 81 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\%}={81}.

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

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

{100\%}={81}(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{81}{112}

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

\frac{x\%}{100\%}=\frac{112}{81}

\Rightarrow{x} = {138.27\%}

Therefore, {112} is {138.27\%} of {81}.

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