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Solution for 83.5 is what percent of 33:

83.5:33*100 =

(83.5*100):33 =

8350:33 = 253.0303030303

Now we have: 83.5 is what percent of 33 = 253.0303030303

Question: 83.5 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 33 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\%}={33}.

Step 4: In the same vein, {x\%}={83.5}.

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

{100\%}={33}(1).

{x\%}={83.5}(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{33}{83.5}

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

\frac{x\%}{100\%}=\frac{83.5}{33}

\Rightarrow{x} = {253.0303030303\%}

Therefore, {83.5} is {253.0303030303\%} of {33}.

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• 83.5 is what percent of 100 = 83.5

Solution for 33 is what percent of 83.5:

33:83.5*100 =

(33*100):83.5 =

3300:83.5 = 39.520958083832

Now we have: 33 is what percent of 83.5 = 39.520958083832

Question: 33 is what percent of 83.5?

Percentage solution with steps:

Step 1: We make the assumption that 83.5 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\%}={83.5}.

Step 4: In the same vein, {x\%}={33}.

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

{100\%}={83.5}(1).

{x\%}={33}(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{83.5}{33}

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

\frac{x\%}{100\%}=\frac{33}{83.5}

\Rightarrow{x} = {39.520958083832\%}

Therefore, {33} is {39.520958083832\%} of {83.5}.