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Solution for 105.5 is what percent of 48:

105.5:48*100 =

(105.5*100):48 =

10550:48 = 219.79166666667

Now we have: 105.5 is what percent of 48 = 219.79166666667

Question: 105.5 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

Step 4: In the same vein, {x\%}={105.5}.

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

{100\%}={48}(1).

{x\%}={105.5}(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{48}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{48}

\Rightarrow{x} = {219.79166666667\%}

Therefore, {105.5} is {219.79166666667\%} of {48}.

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Solution for 48 is what percent of 105.5:

48:105.5*100 =

(48*100):105.5 =

4800:105.5 = 45.497630331754

Now we have: 48 is what percent of 105.5 = 45.497630331754

Question: 48 is what percent of 105.5?

Percentage solution with steps:

Step 1: We make the assumption that 105.5 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\%}={105.5}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={105.5}(1).

{x\%}={48}(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{105.5}{48}

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

\frac{x\%}{100\%}=\frac{48}{105.5}

\Rightarrow{x} = {45.497630331754\%}

Therefore, {48} is {45.497630331754\%} of {105.5}.