#### Solution for 171 is what percent of 333:

171:333*100 =

(171*100):333 =

17100:333 = 51.35

Now we have: 171 is what percent of 333 = 51.35

Question: 171 is what percent of 333?

Percentage solution with steps:

Step 1: We make the assumption that 333 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\%}={333}.

Step 4: In the same vein, {x\%}={171}.

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

{100\%}={333}(1).

{x\%}={171}(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{333}{171}

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

\frac{x\%}{100\%}=\frac{171}{333}

\Rightarrow{x} = {51.35\%}

Therefore, {171} is {51.35\%} of {333}.

#### Solution for 333 is what percent of 171:

333:171*100 =

(333*100):171 =

33300:171 = 194.74

Now we have: 333 is what percent of 171 = 194.74

Question: 333 is what percent of 171?

Percentage solution with steps:

Step 1: We make the assumption that 171 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\%}={171}.

Step 4: In the same vein, {x\%}={333}.

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

{100\%}={171}(1).

{x\%}={333}(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{171}{333}

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

\frac{x\%}{100\%}=\frac{333}{171}

\Rightarrow{x} = {194.74\%}

Therefore, {333} is {194.74\%} of {171}.

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