#### Solution for 330 is what percent of 100:

330:100*100 =

(330*100):100 =

33000:100 = 330

Now we have: 330 is what percent of 100 = 330

Question: 330 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={330}.

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

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

{x\%}={330}(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{100}{330}

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

\frac{x\%}{100\%}=\frac{330}{100}

\Rightarrow{x} = {330\%}

Therefore, {330} is {330\%} of {100}.

#### Solution for 100 is what percent of 330:

100:330*100 =

(100*100):330 =

10000:330 = 30.3

Now we have: 100 is what percent of 330 = 30.3

Question: 100 is what percent of 330?

Percentage solution with steps:

Step 1: We make the assumption that 330 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\%}={330}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={330}(1).

{x\%}={100}(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{330}{100}

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

\frac{x\%}{100\%}=\frac{100}{330}

\Rightarrow{x} = {30.3\%}

Therefore, {100} is {30.3\%} of {330}.

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