#### Solution for 25 is what percent of 32:

25:32*100 =

( 25*100):32 =

2500:32 = 78.13

Now we have: 25 is what percent of 32 = 78.13

Question: 25 is what percent of 32?

Percentage solution with steps:

Step 1: We make the assumption that 32 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\%}={32}.

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

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

{100\%}={32}(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{32}{ 25}

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

\frac{x\%}{100\%}=\frac{ 25}{32}

\Rightarrow{x} = {78.13\%}

Therefore, { 25} is {78.13\%} of {32}.

#### Solution for 32 is what percent of 25:

32: 25*100 =

(32*100): 25 =

3200: 25 = 128

Now we have: 32 is what percent of 25 = 128

Question: 32 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\%}={32}.

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

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

{x\%}={32}(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}{32}

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

\frac{x\%}{100\%}=\frac{32}{ 25}

\Rightarrow{x} = {128\%}

Therefore, {32} is {128\%} of { 25}.

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