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Solution for 105.5 is what percent of 25:

105.5:25*100 =

(105.5*100):25 =

10550:25 = 422

Now we have: 105.5 is what percent of 25 = 422

Question: 105.5 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 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\%}={25}.

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

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

{100\%}={25}(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{25}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{25}

\Rightarrow{x} = {422\%}

Therefore, {105.5} is {422\%} of {25}.

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Solution for 25 is what percent of 105.5:

25:105.5*100 =

(25*100):105.5 =

2500:105.5 = 23.696682464455

Now we have: 25 is what percent of 105.5 = 23.696682464455

Question: 25 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\%}={25}.

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

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

{x\%}={25}(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}{25}

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

\frac{x\%}{100\%}=\frac{25}{105.5}

\Rightarrow{x} = {23.696682464455\%}

Therefore, {25} is {23.696682464455\%} of {105.5}.