#### Solution for 30 is what percent of 3385:

30:3385*100 =

(30*100):3385 =

3000:3385 = 0.89

Now we have: 30 is what percent of 3385 = 0.89

Question: 30 is what percent of 3385?

Percentage solution with steps:

Step 1: We make the assumption that 3385 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\%}={3385}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={3385}(1).

{x\%}={30}(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{3385}{30}

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

\frac{x\%}{100\%}=\frac{30}{3385}

\Rightarrow{x} = {0.89\%}

Therefore, {30} is {0.89\%} of {3385}.

#### Solution for 3385 is what percent of 30:

3385:30*100 =

(3385*100):30 =

338500:30 = 11283.33

Now we have: 3385 is what percent of 30 = 11283.33

Question: 3385 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

Step 4: In the same vein, {x\%}={3385}.

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

{100\%}={30}(1).

{x\%}={3385}(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{30}{3385}

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

\frac{x\%}{100\%}=\frac{3385}{30}

\Rightarrow{x} = {11283.33\%}

Therefore, {3385} is {11283.33\%} of {30}.

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