#### Solution for 728 is what percent of 182:

728: 182*100 =

( 728*100): 182 =

72800: 182 = 400

Now we have: 728 is what percent of 182 = 400

Question: 728 is what percent of 182?

Percentage solution with steps:

Step 1: We make the assumption that 182 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\%}={ 182}.

Step 4: In the same vein, {x\%}={ 728}.

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

{100\%}={ 182}(1).

{x\%}={ 728}(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{ 182}{ 728}

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

\frac{x\%}{100\%}=\frac{ 728}{ 182}

\Rightarrow{x} = {400\%}

Therefore, { 728} is {400\%} of { 182}.

#### Solution for 182 is what percent of 728:

182: 728*100 =

( 182*100): 728 =

18200: 728 = 25

Now we have: 182 is what percent of 728 = 25

Question: 182 is what percent of 728?

Percentage solution with steps:

Step 1: We make the assumption that 728 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\%}={ 728}.

Step 4: In the same vein, {x\%}={ 182}.

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

{100\%}={ 728}(1).

{x\%}={ 182}(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{ 728}{ 182}

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

\frac{x\%}{100\%}=\frac{ 182}{ 728}

\Rightarrow{x} = {25\%}

Therefore, { 182} is {25\%} of { 728}.

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