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Solution for 1100 is what percent of 33:

1100:33*100 =

(1100*100):33 =

110000:33 = 3333.33

Now we have: 1100 is what percent of 33 = 3333.33

Question: 1100 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\%}={1100}.

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

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

{x\%}={1100}(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}{1100}

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

\frac{x\%}{100\%}=\frac{1100}{33}

\Rightarrow{x} = {3333.33\%}

Therefore, {1100} is {3333.33\%} of {33}.

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Solution for 33 is what percent of 1100:

33:1100*100 =

(33*100):1100 =

3300:1100 = 3

Now we have: 33 is what percent of 1100 = 3

Question: 33 is what percent of 1100?

Percentage solution with steps:

Step 1: We make the assumption that 1100 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\%}={1100}.

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

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

{100\%}={1100}(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{1100}{33}

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

\frac{x\%}{100\%}=\frac{33}{1100}

\Rightarrow{x} = {3\%}

Therefore, {33} is {3\%} of {1100}.