#### Solution for 25 is what percent of 50:

25:50*100 =

(25*100):50 =

2500:50 = 50

Now we have: 25 is what percent of 50 = 50

Question: 25 is what percent of 50?

Percentage solution with steps:

Step 1: We make the assumption that 50 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\%}={50}.

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

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

{100\%}={50}(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{50}{25}

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

\frac{x\%}{100\%}=\frac{25}{50}

\Rightarrow{x} = {50\%}

Therefore, {25} is {50\%} of {50}.

#### Solution for 50 is what percent of 25:

50:25*100 =

(50*100):25 =

5000:25 = 200

Now we have: 50 is what percent of 25 = 200

Question: 50 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\%}={50}.

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

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

{x\%}={50}(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}{50}

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

\frac{x\%}{100\%}=\frac{50}{25}

\Rightarrow{x} = {200\%}

Therefore, {50} is {200\%} of {25}.

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