#### Solution for 171 is what percent of 214:

171:214*100 =

(171*100):214 =

17100:214 = 79.91

Now we have: 171 is what percent of 214 = 79.91

Question: 171 is what percent of 214?

Percentage solution with steps:

Step 1: We make the assumption that 214 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\%}={214}.

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

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

{100\%}={214}(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{214}{171}

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

\frac{x\%}{100\%}=\frac{171}{214}

\Rightarrow{x} = {79.91\%}

Therefore, {171} is {79.91\%} of {214}.

#### Solution for 214 is what percent of 171:

214:171*100 =

(214*100):171 =

21400:171 = 125.15

Now we have: 214 is what percent of 171 = 125.15

Question: 214 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\%}={214}.

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

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

{x\%}={214}(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}{214}

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

\frac{x\%}{100\%}=\frac{214}{171}

\Rightarrow{x} = {125.15\%}

Therefore, {214} is {125.15\%} of {171}.

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