#### Solution for 36 is what percent of 75.0:

36:75.0*100 =

(36*100):75.0 =

3600:75.0 = 48

Now we have: 36 is what percent of 75.0 = 48

Question: 36 is what percent of 75.0?

Percentage solution with steps:

Step 1: We make the assumption that 75.0 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\%}={75.0}.

Step 4: In the same vein, {x\%}={36}.

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

{100\%}={75.0}(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{75.0}{36}

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

\frac{x\%}{100\%}=\frac{36}{75.0}

\Rightarrow{x} = {48\%}

Therefore, {36} is {48\%} of {75.0}.

#### Solution for 75.0 is what percent of 36:

75.0:36*100 =

(75.0*100):36 =

7500:36 = 208.33333333333

Now we have: 75.0 is what percent of 36 = 208.33333333333

Question: 75.0 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\%}={75.0}.

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

{100\%}={36}(1).

{x\%}={75.0}(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}{75.0}

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

\frac{x\%}{100\%}=\frac{75.0}{36}

\Rightarrow{x} = {208.33333333333\%}

Therefore, {75.0} is {208.33333333333\%} of {36}.

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