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Solution for 0.3 is what percent of 33:

0.3:33*100 =

(0.3*100):33 =

30:33 = 0.90909090909091

Now we have: 0.3 is what percent of 33 = 0.90909090909091

Question: 0.3 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\%}={0.3}.

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

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

{x\%}={0.3}(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}{0.3}

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

\frac{x\%}{100\%}=\frac{0.3}{33}

\Rightarrow{x} = {0.90909090909091\%}

Therefore, {0.3} is {0.90909090909091\%} of {33}.

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• 0.3 is what percent of 100 = 0.3

Solution for 33 is what percent of 0.3:

33:0.3*100 =

(33*100):0.3 =

3300:0.3 = 11000

Now we have: 33 is what percent of 0.3 = 11000

Question: 33 is what percent of 0.3?

Percentage solution with steps:

Step 1: We make the assumption that 0.3 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\%}={0.3}.

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

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

{100\%}={0.3}(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{0.3}{33}

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

\frac{x\%}{100\%}=\frac{33}{0.3}

\Rightarrow{x} = {11000\%}

Therefore, {33} is {11000\%} of {0.3}.