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Solution for 85 is what percent of 33:

85:33*100 =

( 85*100):33 =

8500:33 = 257.58

Now we have: 85 is what percent of 33 = 257.58

Question: 85 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\%}={ 85}.

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

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

{x\%}={ 85}(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}{ 85}

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

\frac{x\%}{100\%}=\frac{ 85}{33}

\Rightarrow{x} = {257.58\%}

Therefore, { 85} is {257.58\%} of {33}.

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Solution for 33 is what percent of 85:

33: 85*100 =

(33*100): 85 =

3300: 85 = 38.82

Now we have: 33 is what percent of 85 = 38.82

Question: 33 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={ 85}.

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

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

{100\%}={ 85}(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{ 85}{33}

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

\frac{x\%}{100\%}=\frac{33}{ 85}

\Rightarrow{x} = {38.82\%}

Therefore, {33} is {38.82\%} of { 85}.