#### Solution for 13 is what percent of 25:

13: 25*100 =

(13*100): 25 =

1300: 25 = 52

Now we have: 13 is what percent of 25 = 52

Question: 13 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 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\%}={ 25}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={ 25}(1).

{x\%}={13}(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{ 25}{13}

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

\frac{x\%}{100\%}=\frac{13}{ 25}

\Rightarrow{x} = {52\%}

Therefore, {13} is {52\%} of { 25}.

#### Solution for 25 is what percent of 13:

25:13*100 =

( 25*100):13 =

2500:13 = 192.31

Now we have: 25 is what percent of 13 = 192.31

Question: 25 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={ 25}.

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

{100\%}={13}(1).

{x\%}={ 25}(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{13}{ 25}

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

\frac{x\%}{100\%}=\frac{ 25}{13}

\Rightarrow{x} = {192.31\%}

Therefore, { 25} is {192.31\%} of {13}.

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