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Solution for 23 is what percent of 55:

23:55*100 =

( 23*100):55 =

2300:55 = 41.82

Now we have: 23 is what percent of 55 = 41.82

Question: 23 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\%}={ 23}.

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

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

{x\%}={ 23}(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}{ 23}

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

\frac{x\%}{100\%}=\frac{ 23}{55}

\Rightarrow{x} = {41.82\%}

Therefore, { 23} is {41.82\%} of {55}.

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Solution for 55 is what percent of 23:

55: 23*100 =

(55*100): 23 =

5500: 23 = 239.13

Now we have: 55 is what percent of 23 = 239.13

Question: 55 is what percent of 23?

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={ 23}.

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

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

{100\%}={ 23}(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{ 23}{55}

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

\frac{x\%}{100\%}=\frac{55}{ 23}

\Rightarrow{x} = {239.13\%}

Therefore, {55} is {239.13\%} of { 23}.