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Solution for 83.25 is what percent of 75:

83.25:75*100 =

(83.25*100):75 =

8325:75 = 111

Now we have: 83.25 is what percent of 75 = 111

Question: 83.25 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\%}={83.25}.

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

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

{x\%}={83.25}(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{75}{83.25}

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

\frac{x\%}{100\%}=\frac{83.25}{75}

\Rightarrow{x} = {111\%}

Therefore, {83.25} is {111\%} of {75}.

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• 83.25 is what percent of 100 = 83.25

Solution for 75 is what percent of 83.25:

75:83.25*100 =

(75*100):83.25 =

7500:83.25 = 90.09009009009

Now we have: 75 is what percent of 83.25 = 90.09009009009

Question: 75 is what percent of 83.25?

Percentage solution with steps:

Step 1: We make the assumption that 83.25 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\%}={83.25}.

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

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

{100\%}={83.25}(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{83.25}{75}

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

\frac{x\%}{100\%}=\frac{75}{83.25}

\Rightarrow{x} = {90.09009009009\%}

Therefore, {75} is {90.09009009009\%} of {83.25}.