#### Solution for 250 is what percent of 1250:

250:1250*100 =

(250*100):1250 =

25000:1250 = 20

Now we have: 250 is what percent of 1250 = 20

Question: 250 is what percent of 1250?

Percentage solution with steps:

Step 1: We make the assumption that 1250 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\%}={1250}.

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

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

{100\%}={1250}(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{1250}{250}

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

\frac{x\%}{100\%}=\frac{250}{1250}

\Rightarrow{x} = {20\%}

Therefore, {250} is {20\%} of {1250}.

#### Solution for 1250 is what percent of 250:

1250:250*100 =

(1250*100):250 =

125000:250 = 500

Now we have: 1250 is what percent of 250 = 500

Question: 1250 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\%}={1250}.

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

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

{x\%}={1250}(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}{1250}

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

\frac{x\%}{100\%}=\frac{1250}{250}

\Rightarrow{x} = {500\%}

Therefore, {1250} is {500\%} of {250}.

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