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Solution for 65.5 is what percent of 75:

65.5:75*100 =

(65.5*100):75 =

6550:75 = 87.333333333333

Now we have: 65.5 is what percent of 75 = 87.333333333333

Question: 65.5 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\%}={65.5}.

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

{100\%}={75}(1).

{x\%}={65.5}(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}{65.5}

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

\frac{x\%}{100\%}=\frac{65.5}{75}

\Rightarrow{x} = {87.333333333333\%}

Therefore, {65.5} is {87.333333333333\%} of {75}.

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• 65.5 is what percent of 100 = 65.5

Solution for 75 is what percent of 65.5:

75:65.5*100 =

(75*100):65.5 =

7500:65.5 = 114.50381679389

Now we have: 75 is what percent of 65.5 = 114.50381679389

Question: 75 is what percent of 65.5?

Percentage solution with steps:

Step 1: We make the assumption that 65.5 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\%}={65.5}.

Step 4: In the same vein, {x\%}={75}.

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

{100\%}={65.5}(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{65.5}{75}

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

\frac{x\%}{100\%}=\frac{75}{65.5}

\Rightarrow{x} = {114.50381679389\%}

Therefore, {75} is {114.50381679389\%} of {65.5}.