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Solution for 105.5 is what percent of 40:

105.5:40*100 =

(105.5*100):40 =

10550:40 = 263.75

Now we have: 105.5 is what percent of 40 = 263.75

Question: 105.5 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{40}

\Rightarrow{x} = {263.75\%}

Therefore, {105.5} is {263.75\%} of {40}.

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• 105.5 is what percent of 100 = 105.5

Solution for 40 is what percent of 105.5:

40:105.5*100 =

(40*100):105.5 =

4000:105.5 = 37.914691943128

Now we have: 40 is what percent of 105.5 = 37.914691943128

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{105.5}

\Rightarrow{x} = {37.914691943128\%}

Therefore, {40} is {37.914691943128\%} of {105.5}.