#### Solution for 36 is what percent of 60:

36:60*100 =

( 36*100):60 =

3600:60 = 60

Now we have: 36 is what percent of 60 = 60

Question: 36 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\%}={ 36}.

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

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

{x\%}={ 36}(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}{ 36}

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

\frac{x\%}{100\%}=\frac{ 36}{60}

\Rightarrow{x} = {60\%}

Therefore, { 36} is {60\%} of {60}.

#### Solution for 60 is what percent of 36:

60: 36*100 =

(60*100): 36 =

6000: 36 = 166.67

Now we have: 60 is what percent of 36 = 166.67

Question: 60 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={ 36}.

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

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

{100\%}={ 36}(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{ 36}{60}

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

\frac{x\%}{100\%}=\frac{60}{ 36}

\Rightarrow{x} = {166.67\%}

Therefore, {60} is {166.67\%} of { 36}.

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