#### Solution for 30 is what percent of 1643:

30:1643*100 =

(30*100):1643 =

3000:1643 = 1.83

Now we have: 30 is what percent of 1643 = 1.83

Question: 30 is what percent of 1643?

Percentage solution with steps:

Step 1: We make the assumption that 1643 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\%}={1643}.

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

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

{100\%}={1643}(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{1643}{30}

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

\frac{x\%}{100\%}=\frac{30}{1643}

\Rightarrow{x} = {1.83\%}

Therefore, {30} is {1.83\%} of {1643}.

#### Solution for 1643 is what percent of 30:

1643:30*100 =

(1643*100):30 =

164300:30 = 5476.67

Now we have: 1643 is what percent of 30 = 5476.67

Question: 1643 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\%}={1643}.

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

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

{x\%}={1643}(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}{1643}

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

\frac{x\%}{100\%}=\frac{1643}{30}

\Rightarrow{x} = {5476.67\%}

Therefore, {1643} is {5476.67\%} of {30}.

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