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Solution for 5500 is what percent of 33:

5500:33*100 =

(5500*100):33 =

550000:33 = 16666.67

Now we have: 5500 is what percent of 33 = 16666.67

Question: 5500 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 33 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\%}={33}.

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

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

{100\%}={33}(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{33}{5500}

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

\frac{x\%}{100\%}=\frac{5500}{33}

\Rightarrow{x} = {16666.67\%}

Therefore, {5500} is {16666.67\%} of {33}.

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Solution for 33 is what percent of 5500:

33:5500*100 =

(33*100):5500 =

3300:5500 = 0.6

Now we have: 33 is what percent of 5500 = 0.6

Question: 33 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\%}={33}.

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

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

{x\%}={33}(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}{33}

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

\frac{x\%}{100\%}=\frac{33}{5500}

\Rightarrow{x} = {0.6\%}

Therefore, {33} is {0.6\%} of {5500}.