#### Solution for 3 is what percent of 60:

3: 60*100 =

(3*100): 60 =

300: 60 = 5

Now we have: 3 is what percent of 60 = 5

Question: 3 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\%}={3}.

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

{100\%}={ 60}(1).

{x\%}={3}(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}{3}

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

\frac{x\%}{100\%}=\frac{3}{ 60}

\Rightarrow{x} = {5\%}

Therefore, {3} is {5\%} of { 60}.

#### Solution for 60 is what percent of 3:

60:3*100 =

( 60*100):3 =

6000:3 = 2000

Now we have: 60 is what percent of 3 = 2000

Question: 60 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

Step 4: In the same vein, {x\%}={ 60}.

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

{100\%}={3}(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{3}{ 60}

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

\frac{x\%}{100\%}=\frac{ 60}{3}

\Rightarrow{x} = {2000\%}

Therefore, { 60} is {2000\%} of {3}.

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