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Solution for 120.00 is what percent of 33:

120.00:33*100 =

(120.00*100):33 =

12000:33 = 363.63636363636

Now we have: 120.00 is what percent of 33 = 363.63636363636

Question: 120.00 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\%}={120.00}.

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

{100\%}={33}(1).

{x\%}={120.00}(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}{120.00}

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

\frac{x\%}{100\%}=\frac{120.00}{33}

\Rightarrow{x} = {363.63636363636\%}

Therefore, {120.00} is {363.63636363636\%} of {33}.

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Solution for 33 is what percent of 120.00:

33:120.00*100 =

(33*100):120.00 =

3300:120.00 = 27.5

Now we have: 33 is what percent of 120.00 = 27.5

Question: 33 is what percent of 120.00?

Percentage solution with steps:

Step 1: We make the assumption that 120.00 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\%}={120.00}.

Step 4: In the same vein, {x\%}={33}.

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

{100\%}={120.00}(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{120.00}{33}

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

\frac{x\%}{100\%}=\frac{33}{120.00}

\Rightarrow{x} = {27.5\%}

Therefore, {33} is {27.5\%} of {120.00}.