#### Solution for 11.5 is what percent of 33:

11.5:33*100 =

(11.5*100):33 =

1150:33 = 34.848484848485

Now we have: 11.5 is what percent of 33 = 34.848484848485

Question: 11.5 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\%}={11.5}.

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

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

{x\%}={11.5}(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}{11.5}

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

\frac{x\%}{100\%}=\frac{11.5}{33}

\Rightarrow{x} = {34.848484848485\%}

Therefore, {11.5} is {34.848484848485\%} of {33}.

#### Solution for 33 is what percent of 11.5:

33:11.5*100 =

(33*100):11.5 =

3300:11.5 = 286.95652173913

Now we have: 33 is what percent of 11.5 = 286.95652173913

Question: 33 is what percent of 11.5?

Percentage solution with steps:

Step 1: We make the assumption that 11.5 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\%}={11.5}.

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

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

{100\%}={11.5}(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{11.5}{33}

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

\frac{x\%}{100\%}=\frac{33}{11.5}

\Rightarrow{x} = {286.95652173913\%}

Therefore, {33} is {286.95652173913\%} of {11.5}.

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