#### Solution for 123.75 is what percent of 375:

123.75:375*100 =

(123.75*100):375 =

12375:375 = 33

Now we have: 123.75 is what percent of 375 = 33

Question: 123.75 is what percent of 375?

Percentage solution with steps:

Step 1: We make the assumption that 375 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\%}={375}.

Step 4: In the same vein, {x\%}={123.75}.

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

{100\%}={375}(1).

{x\%}={123.75}(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{375}{123.75}

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

\frac{x\%}{100\%}=\frac{123.75}{375}

\Rightarrow{x} = {33\%}

Therefore, {123.75} is {33\%} of {375}.

#### Solution for 375 is what percent of 123.75:

375:123.75*100 =

(375*100):123.75 =

37500:123.75 = 303.0303030303

Now we have: 375 is what percent of 123.75 = 303.0303030303

Question: 375 is what percent of 123.75?

Percentage solution with steps:

Step 1: We make the assumption that 123.75 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\%}={123.75}.

Step 4: In the same vein, {x\%}={375}.

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

{100\%}={123.75}(1).

{x\%}={375}(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}{375}

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

\frac{x\%}{100\%}=\frac{375}{123.75}

\Rightarrow{x} = {303.0303030303\%}

Therefore, {375} is {303.0303030303\%} of {123.75}.

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