#### Solution for 22 is what percent of 55:

22:55*100 =

( 22*100):55 =

2200:55 = 40

Now we have: 22 is what percent of 55 = 40

Question: 22 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\%}={ 22}.

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

{100\%}={55}(1).

{x\%}={ 22}(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}{ 22}

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

\frac{x\%}{100\%}=\frac{ 22}{55}

\Rightarrow{x} = {40\%}

Therefore, { 22} is {40\%} of {55}.

#### Solution for 55 is what percent of 22:

55: 22*100 =

(55*100): 22 =

5500: 22 = 250

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

Question: 55 is what percent of 22?

Percentage solution with steps:

Step 1: We make the assumption that 22 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\%}={ 22}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={ 22}(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{ 22}{55}

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

\frac{x\%}{100\%}=\frac{55}{ 22}

\Rightarrow{x} = {250\%}

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

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