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Solution for 35.5 is what percent of 33:

35.5:33*100 =

(35.5*100):33 =

3550:33 = 107.57575757576

Now we have: 35.5 is what percent of 33 = 107.57575757576

Question: 35.5 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\%}={35.5}.

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

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

{x\%}={35.5}(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}{35.5}

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

\frac{x\%}{100\%}=\frac{35.5}{33}

\Rightarrow{x} = {107.57575757576\%}

Therefore, {35.5} is {107.57575757576\%} of {33}.

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• 35.5 is what percent of 100 = 35.5

Solution for 33 is what percent of 35.5:

33:35.5*100 =

(33*100):35.5 =

3300:35.5 = 92.957746478873

Now we have: 33 is what percent of 35.5 = 92.957746478873

Question: 33 is what percent of 35.5?

Percentage solution with steps:

Step 1: We make the assumption that 35.5 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\%}={35.5}.

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

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

{100\%}={35.5}(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{35.5}{33}

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

\frac{x\%}{100\%}=\frac{33}{35.5}

\Rightarrow{x} = {92.957746478873\%}

Therefore, {33} is {92.957746478873\%} of {35.5}.