#### Solution for 171 is what percent of 221:

171:221*100 =

(171*100):221 =

17100:221 = 77.38

Now we have: 171 is what percent of 221 = 77.38

Question: 171 is what percent of 221?

Percentage solution with steps:

Step 1: We make the assumption that 221 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\%}={221}.

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

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

{100\%}={221}(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{221}{171}

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

\frac{x\%}{100\%}=\frac{171}{221}

\Rightarrow{x} = {77.38\%}

Therefore, {171} is {77.38\%} of {221}.

#### Solution for 221 is what percent of 171:

221:171*100 =

(221*100):171 =

22100:171 = 129.24

Now we have: 221 is what percent of 171 = 129.24

Question: 221 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\%}={221}.

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

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

{x\%}={221}(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}{221}

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

\frac{x\%}{100\%}=\frac{221}{171}

\Rightarrow{x} = {129.24\%}

Therefore, {221} is {129.24\%} of {171}.

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