#### Solution for 60 is what percent of 170:

60:170*100 =

(60*100):170 =

6000:170 = 35.29

Now we have: 60 is what percent of 170 = 35.29

Question: 60 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\%}={60}.

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

{100\%}={170}(1).

{x\%}={60}(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}{60}

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

\frac{x\%}{100\%}=\frac{60}{170}

\Rightarrow{x} = {35.29\%}

Therefore, {60} is {35.29\%} of {170}.

#### Solution for 170 is what percent of 60:

170:60*100 =

(170*100):60 =

17000:60 = 283.33

Now we have: 170 is what percent of 60 = 283.33

Question: 170 is what percent of 60?

Percentage solution with steps:

Step 1: We make the assumption that 60 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\%}={60}.

Step 4: In the same vein, {x\%}={170}.

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

{100\%}={60}(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{60}{170}

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

\frac{x\%}{100\%}=\frac{170}{60}

\Rightarrow{x} = {283.33\%}

Therefore, {170} is {283.33\%} of {60}.

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