#### Solution for 10 is what percent of 250:

10: 250*100 =

(10*100): 250 =

1000: 250 = 4

Now we have: 10 is what percent of 250 = 4

Question: 10 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\%}={10}.

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

{100\%}={ 250}(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{ 250}{10}

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

\frac{x\%}{100\%}=\frac{10}{ 250}

\Rightarrow{x} = {4\%}

Therefore, {10} is {4\%} of { 250}.

#### Solution for 250 is what percent of 10:

250:10*100 =

( 250*100):10 =

25000:10 = 2500

Now we have: 250 is what percent of 10 = 2500

Question: 250 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\%}={ 250}.

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

{100\%}={10}(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{10}{ 250}

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

\frac{x\%}{100\%}=\frac{ 250}{10}

\Rightarrow{x} = {2500\%}

Therefore, { 250} is {2500\%} of {10}.

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