#### 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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