#### Solution for 123 is what percent of 108:

123:108*100 =

(123*100):108 =

12300:108 = 113.89

Now we have: 123 is what percent of 108 = 113.89

Question: 123 is what percent of 108?

Percentage solution with steps:

Step 1: We make the assumption that 108 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\%}={108}.

Step 4: In the same vein, {x\%}={123}.

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

{100\%}={108}(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{108}{123}

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

\frac{x\%}{100\%}=\frac{123}{108}

\Rightarrow{x} = {113.89\%}

Therefore, {123} is {113.89\%} of {108}.

#### Solution for 108 is what percent of 123:

108:123*100 =

(108*100):123 =

10800:123 = 87.8

Now we have: 108 is what percent of 123 = 87.8

Question: 108 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\%}={108}.

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

{100\%}={123}(1).

{x\%}={108}(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}{108}

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

\frac{x\%}{100\%}=\frac{108}{123}

\Rightarrow{x} = {87.8\%}

Therefore, {108} is {87.8\%} of {123}.

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