#### Solution for 25 is what percent of 200:

25:200*100 =

( 25*100):200 =

2500:200 = 12.5

Now we have: 25 is what percent of 200 = 12.5

Question: 25 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

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

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

{100\%}={200}(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{200}{ 25}

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

\frac{x\%}{100\%}=\frac{ 25}{200}

\Rightarrow{x} = {12.5\%}

Therefore, { 25} is {12.5\%} of {200}.

#### Solution for 200 is what percent of 25:

200: 25*100 =

(200*100): 25 =

20000: 25 = 800

Now we have: 200 is what percent of 25 = 800

Question: 200 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\%}={200}.

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

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

{x\%}={200}(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}{200}

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

\frac{x\%}{100\%}=\frac{200}{ 25}

\Rightarrow{x} = {800\%}

Therefore, {200} is {800\%} of { 25}.

Calculation Samples