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Solution for 105.5 is what percent of 75:

105.5:75*100 =

(105.5*100):75 =

10550:75 = 140.66666666667

Now we have: 105.5 is what percent of 75 = 140.66666666667

Question: 105.5 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

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

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

{100\%}={75}(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{75}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{75}

\Rightarrow{x} = {140.66666666667\%}

Therefore, {105.5} is {140.66666666667\%} of {75}.

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• 105.5 is what percent of 100 = 105.5

Solution for 75 is what percent of 105.5:

75:105.5*100 =

(75*100):105.5 =

7500:105.5 = 71.090047393365

Now we have: 75 is what percent of 105.5 = 71.090047393365

Question: 75 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\%}={75}.

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

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

{x\%}={75}(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}{75}

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

\frac{x\%}{100\%}=\frac{75}{105.5}

\Rightarrow{x} = {71.090047393365\%}

Therefore, {75} is {71.090047393365\%} of {105.5}.