#### Solution for 250 is what percent of 500:

250: 500*100 =

(250*100): 500 =

25000: 500 = 50

Now we have: 250 is what percent of 500 = 50

Question: 250 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={ 500}.

Step 4: In the same vein, {x\%}={250}.

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

{100\%}={ 500}(1).

{x\%}={250}(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{ 500}{250}

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

\frac{x\%}{100\%}=\frac{250}{ 500}

\Rightarrow{x} = {50\%}

Therefore, {250} is {50\%} of { 500}.

#### Solution for 500 is what percent of 250:

500:250*100 =

( 500*100):250 =

50000:250 = 200

Now we have: 500 is what percent of 250 = 200

Question: 500 is what percent of 250?

Percentage solution with steps:

Step 1: We make the assumption that 250 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\%}={250}.

Step 4: In the same vein, {x\%}={ 500}.

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

{100\%}={250}(1).

{x\%}={ 500}(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{250}{ 500}

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

\frac{x\%}{100\%}=\frac{ 500}{250}

\Rightarrow{x} = {200\%}

Therefore, { 500} is {200\%} of {250}.

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