#### Solution for 2100 is what percent of 3300:

2100: 3300*100 =

(2100*100): 3300 =

210000: 3300 = 63.64

Now we have: 2100 is what percent of 3300 = 63.64

Question: 2100 is what percent of 3300?

Percentage solution with steps:

Step 1: We make the assumption that 3300 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\%}={ 3300}.

Step 4: In the same vein, {x\%}={2100}.

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

{100\%}={ 3300}(1).

{x\%}={2100}(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{ 3300}{2100}

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

\frac{x\%}{100\%}=\frac{2100}{ 3300}

\Rightarrow{x} = {63.64\%}

Therefore, {2100} is {63.64\%} of { 3300}.

#### Solution for 3300 is what percent of 2100:

3300:2100*100 =

( 3300*100):2100 =

330000:2100 = 157.14

Now we have: 3300 is what percent of 2100 = 157.14

Question: 3300 is what percent of 2100?

Percentage solution with steps:

Step 1: We make the assumption that 2100 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\%}={2100}.

Step 4: In the same vein, {x\%}={ 3300}.

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

{100\%}={2100}(1).

{x\%}={ 3300}(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{2100}{ 3300}

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

\frac{x\%}{100\%}=\frac{ 3300}{2100}

\Rightarrow{x} = {157.14\%}

Therefore, { 3300} is {157.14\%} of {2100}.

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