#### Solution for 10 is what percent of 25:

10: 25*100 =

( 10*100): 25 =

1000: 25 = 40

Now we have: 10 is what percent of 25 = 40

Question: 10 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\%}={ 10}.

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

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

{x\%}={ 10}(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}{ 10}

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

\frac{x\%}{100\%}=\frac{ 10}{ 25}

\Rightarrow{x} = {40\%}

Therefore, { 10} is {40\%} of { 25}.

#### Solution for 25 is what percent of 10:

25: 10*100 =

( 25*100): 10 =

2500: 10 = 250

Now we have: 25 is what percent of 10 = 250

Question: 25 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={ 10}.

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

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

{100\%}={ 10}(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{ 10}{ 25}

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

\frac{x\%}{100\%}=\frac{ 25}{ 10}

\Rightarrow{x} = {250\%}

Therefore, { 25} is {250\%} of { 10}.

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