#### Solution for 55 is what percent of 250:

55: 250*100 =

(55*100): 250 =

5500: 250 = 22

Now we have: 55 is what percent of 250 = 22

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{ 250}

\Rightarrow{x} = {22\%}

Therefore, {55} is {22\%} of { 250}.

#### Solution for 250 is what percent of 55:

250:55*100 =

( 250*100):55 =

25000:55 = 454.55

Now we have: 250 is what percent of 55 = 454.55

Question: 250 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{ 250}

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

\frac{x\%}{100\%}=\frac{ 250}{55}

\Rightarrow{x} = {454.55\%}

Therefore, { 250} is {454.55\%} of {55}.

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