#### Solution for 35 is what percent of 33:

35:33*100 =

(35*100):33 =

3500:33 = 106.06

Now we have: 35 is what percent of 33 = 106.06

Question: 35 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}.

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

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

{x\%}={35}(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}

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

\frac{x\%}{100\%}=\frac{35}{33}

\Rightarrow{x} = {106.06\%}

Therefore, {35} is {106.06\%} of {33}.

#### Solution for 33 is what percent of 35:

33:35*100 =

(33*100):35 =

3300:35 = 94.29

Now we have: 33 is what percent of 35 = 94.29

Question: 33 is what percent of 35?

Percentage solution with steps:

Step 1: We make the assumption that 35 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}.

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

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

{100\%}={35}(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}{33}

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

\frac{x\%}{100\%}=\frac{33}{35}

\Rightarrow{x} = {94.29\%}

Therefore, {33} is {94.29\%} of {35}.

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