#### Solution for 112 is what percent of 123:

112:123*100 =

(112*100):123 =

11200:123 = 91.06

Now we have: 112 is what percent of 123 = 91.06

Question: 112 is what percent of 123?

Percentage solution with steps:

Step 1: We make the assumption that 123 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\%}={123}.

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

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

{100\%}={123}(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{123}{112}

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

\frac{x\%}{100\%}=\frac{112}{123}

\Rightarrow{x} = {91.06\%}

Therefore, {112} is {91.06\%} of {123}.

#### Solution for 123 is what percent of 112:

123:112*100 =

(123*100):112 =

12300:112 = 109.82

Now we have: 123 is what percent of 112 = 109.82

Question: 123 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\%}={123}.

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

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

{x\%}={123}(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}{123}

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

\frac{x\%}{100\%}=\frac{123}{112}

\Rightarrow{x} = {109.82\%}

Therefore, {123} is {109.82\%} of {112}.

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