#### Solution for 170 is what percent of 171:

170:171*100 =

(170*100):171 =

17000:171 = 99.42

Now we have: 170 is what percent of 171 = 99.42

Question: 170 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\%}={170}.

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

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

{x\%}={170}(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}{170}

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

\frac{x\%}{100\%}=\frac{170}{171}

\Rightarrow{x} = {99.42\%}

Therefore, {170} is {99.42\%} of {171}.

#### Solution for 171 is what percent of 170:

171:170*100 =

(171*100):170 =

17100:170 = 100.59

Now we have: 171 is what percent of 170 = 100.59

Question: 171 is what percent of 170?

Percentage solution with steps:

Step 1: We make the assumption that 170 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\%}={170}.

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

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

{100\%}={170}(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{170}{171}

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

\frac{x\%}{100\%}=\frac{171}{170}

\Rightarrow{x} = {100.59\%}

Therefore, {171} is {100.59\%} of {170}.

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