#### Solution for 171 is what percent of 210:

171:210*100 =

(171*100):210 =

17100:210 = 81.43

Now we have: 171 is what percent of 210 = 81.43

Question: 171 is what percent of 210?

Percentage solution with steps:

Step 1: We make the assumption that 210 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\%}={210}.

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

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

{100\%}={210}(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{210}{171}

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

\frac{x\%}{100\%}=\frac{171}{210}

\Rightarrow{x} = {81.43\%}

Therefore, {171} is {81.43\%} of {210}.

#### Solution for 210 is what percent of 171:

210:171*100 =

(210*100):171 =

21000:171 = 122.81

Now we have: 210 is what percent of 171 = 122.81

Question: 210 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\%}={210}.

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

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

{x\%}={210}(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}{210}

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

\frac{x\%}{100\%}=\frac{210}{171}

\Rightarrow{x} = {122.81\%}

Therefore, {210} is {122.81\%} of {171}.

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