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Solution for 123 is what percent of 55:

123:55*100 =

(123*100):55 =

12300:55 = 223.64

Now we have: 123 is what percent of 55 = 223.64

Question: 123 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{123}

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

\frac{x\%}{100\%}=\frac{123}{55}

\Rightarrow{x} = {223.64\%}

Therefore, {123} is {223.64\%} of {55}.

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Solution for 55 is what percent of 123:

55:123*100 =

(55*100):123 =

5500:123 = 44.72

Now we have: 55 is what percent of 123 = 44.72

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{123}

\Rightarrow{x} = {44.72\%}

Therefore, {55} is {44.72\%} of {123}.