#### Solution for 1650 is what percent of 5500:

1650:5500*100 =

(1650*100):5500 =

165000:5500 = 30

Now we have: 1650 is what percent of 5500 = 30

Question: 1650 is what percent of 5500?

Percentage solution with steps:

Step 1: We make the assumption that 5500 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\%}={5500}.

Step 4: In the same vein, {x\%}={1650}.

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

{100\%}={5500}(1).

{x\%}={1650}(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{5500}{1650}

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

\frac{x\%}{100\%}=\frac{1650}{5500}

\Rightarrow{x} = {30\%}

Therefore, {1650} is {30\%} of {5500}.

#### Solution for 5500 is what percent of 1650:

5500:1650*100 =

(5500*100):1650 =

550000:1650 = 333.33

Now we have: 5500 is what percent of 1650 = 333.33

Question: 5500 is what percent of 1650?

Percentage solution with steps:

Step 1: We make the assumption that 1650 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\%}={1650}.

Step 4: In the same vein, {x\%}={5500}.

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

{100\%}={1650}(1).

{x\%}={5500}(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{1650}{5500}

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

\frac{x\%}{100\%}=\frac{5500}{1650}

\Rightarrow{x} = {333.33\%}

Therefore, {5500} is {333.33\%} of {1650}.

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