#### Solution for 55 is what percent of 105:

55: 105*100 =

(55*100): 105 =

5500: 105 = 52.38

Now we have: 55 is what percent of 105 = 52.38

Question: 55 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={ 105}.

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

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

{100\%}={ 105}(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{ 105}{55}

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

\frac{x\%}{100\%}=\frac{55}{ 105}

\Rightarrow{x} = {52.38\%}

Therefore, {55} is {52.38\%} of { 105}.

#### Solution for 105 is what percent of 55:

105:55*100 =

( 105*100):55 =

10500:55 = 190.91

Now we have: 105 is what percent of 55 = 190.91

Question: 105 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\%}={ 105}.

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

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

{x\%}={ 105}(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}{ 105}

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

\frac{x\%}{100\%}=\frac{ 105}{55}

\Rightarrow{x} = {190.91\%}

Therefore, { 105} is {190.91\%} of {55}.

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