#### Solution for 169 is what percent of 171:

169:171*100 =

(169*100):171 =

16900:171 = 98.83

Now we have: 169 is what percent of 171 = 98.83

Question: 169 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\%}={169}.

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

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

{x\%}={169}(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}{169}

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

\frac{x\%}{100\%}=\frac{169}{171}

\Rightarrow{x} = {98.83\%}

Therefore, {169} is {98.83\%} of {171}.

#### Solution for 171 is what percent of 169:

171:169*100 =

(171*100):169 =

17100:169 = 101.18

Now we have: 171 is what percent of 169 = 101.18

Question: 171 is what percent of 169?

Percentage solution with steps:

Step 1: We make the assumption that 169 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\%}={169}.

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

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

{100\%}={169}(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{169}{171}

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

\frac{x\%}{100\%}=\frac{171}{169}

\Rightarrow{x} = {101.18\%}

Therefore, {171} is {101.18\%} of {169}.

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