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Solution for 162 is what percent of 33:

162:33*100 =

(162*100):33 =

16200:33 = 490.91

Now we have: 162 is what percent of 33 = 490.91

Question: 162 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\%}={162}.

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

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

{x\%}={162}(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}{162}

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

\frac{x\%}{100\%}=\frac{162}{33}

\Rightarrow{x} = {490.91\%}

Therefore, {162} is {490.91\%} of {33}.

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Solution for 33 is what percent of 162:

33:162*100 =

(33*100):162 =

3300:162 = 20.37

Now we have: 33 is what percent of 162 = 20.37

Question: 33 is what percent of 162?

Percentage solution with steps:

Step 1: We make the assumption that 162 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\%}={162}.

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

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

{100\%}={162}(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{162}{33}

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

\frac{x\%}{100\%}=\frac{33}{162}

\Rightarrow{x} = {20.37\%}

Therefore, {33} is {20.37\%} of {162}.