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Solution for 123 is what percent of 75:

123:75*100 =

(123*100):75 =

12300:75 = 164

Now we have: 123 is what percent of 75 = 164

Question: 123 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

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

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

{100\%}={75}(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{75}{123}

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

\frac{x\%}{100\%}=\frac{123}{75}

\Rightarrow{x} = {164\%}

Therefore, {123} is {164\%} of {75}.

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Solution for 75 is what percent of 123:

75:123*100 =

(75*100):123 =

7500:123 = 60.98

Now we have: 75 is what percent of 123 = 60.98

Question: 75 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\%}={75}.

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

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

{x\%}={75}(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}{75}

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

\frac{x\%}{100\%}=\frac{75}{123}

\Rightarrow{x} = {60.98\%}

Therefore, {75} is {60.98\%} of {123}.