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Solution for 1.1 is what percent of 33:

1.1:33*100 =

(1.1*100):33 =

110:33 = 3.3333333333333

Now we have: 1.1 is what percent of 33 = 3.3333333333333

Question: 1.1 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\%}={1.1}.

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

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

{x\%}={1.1}(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}{1.1}

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

\frac{x\%}{100\%}=\frac{1.1}{33}

\Rightarrow{x} = {3.3333333333333\%}

Therefore, {1.1} is {3.3333333333333\%} of {33}.

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Solution for 33 is what percent of 1.1:

33:1.1*100 =

(33*100):1.1 =

3300:1.1 = 3000

Now we have: 33 is what percent of 1.1 = 3000

Question: 33 is what percent of 1.1?

Percentage solution with steps:

Step 1: We make the assumption that 1.1 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\%}={1.1}.

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

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

{100\%}={1.1}(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{1.1}{33}

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

\frac{x\%}{100\%}=\frac{33}{1.1}

\Rightarrow{x} = {3000\%}

Therefore, {33} is {3000\%} of {1.1}.