#### Solution for 49.5 is what percent of 75:

49.5:75*100 =

(49.5*100):75 =

4950:75 = 66

Now we have: 49.5 is what percent of 75 = 66

Question: 49.5 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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}.

Step 4: In the same vein, {x\%}={49.5}.

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

{100\%}={75}(1).

{x\%}={49.5}(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}{49.5}

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

\frac{x\%}{100\%}=\frac{49.5}{75}

\Rightarrow{x} = {66\%}

Therefore, {49.5} is {66\%} of {75}.

#### Solution for 75 is what percent of 49.5:

75:49.5*100 =

(75*100):49.5 =

7500:49.5 = 151.51515151515

Now we have: 75 is what percent of 49.5 = 151.51515151515

Question: 75 is what percent of 49.5?

Percentage solution with steps:

Step 1: We make the assumption that 49.5 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\%}={49.5}.

Step 4: In the same vein, {x\%}={75}.

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

{100\%}={49.5}(1).

{x\%}={75}(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{49.5}{75}

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

\frac{x\%}{100\%}=\frac{75}{49.5}

\Rightarrow{x} = {151.51515151515\%}

Therefore, {75} is {151.51515151515\%} of {49.5}.

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