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Solution for 123 is what percent of 85:

123:85*100 =

(123*100):85 =

12300:85 = 144.71

Now we have: 123 is what percent of 85 = 144.71

Question: 123 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

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

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

{100\%}={85}(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{85}{123}

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

\frac{x\%}{100\%}=\frac{123}{85}

\Rightarrow{x} = {144.71\%}

Therefore, {123} is {144.71\%} of {85}.

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Solution for 85 is what percent of 123:

85:123*100 =

(85*100):123 =

8500:123 = 69.11

Now we have: 85 is what percent of 123 = 69.11

Question: 85 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\%}={85}.

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

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

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{123}

\Rightarrow{x} = {69.11\%}

Therefore, {85} is {69.11\%} of {123}.