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Solution for 167 is what percent of 33:

167:33*100 =

(167*100):33 =

16700:33 = 506.06

Now we have: 167 is what percent of 33 = 506.06

Question: 167 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\%}={167}.

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

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

{x\%}={167}(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}{167}

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

\frac{x\%}{100\%}=\frac{167}{33}

\Rightarrow{x} = {506.06\%}

Therefore, {167} is {506.06\%} of {33}.

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Solution for 33 is what percent of 167:

33:167*100 =

(33*100):167 =

3300:167 = 19.76

Now we have: 33 is what percent of 167 = 19.76

Question: 33 is what percent of 167?

Percentage solution with steps:

Step 1: We make the assumption that 167 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\%}={167}.

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

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

{100\%}={167}(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{167}{33}

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

\frac{x\%}{100\%}=\frac{33}{167}

\Rightarrow{x} = {19.76\%}

Therefore, {33} is {19.76\%} of {167}.