#### Solution for 75 is what percent of 47:

75: 47*100 =

(75*100): 47 =

7500: 47 = 159.57

Now we have: 75 is what percent of 47 = 159.57

Question: 75 is what percent of 47?

Percentage solution with steps:

Step 1: We make the assumption that 47 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\%}={ 47}.

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

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

{100\%}={ 47}(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{ 47}{75}

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

\frac{x\%}{100\%}=\frac{75}{ 47}

\Rightarrow{x} = {159.57\%}

Therefore, {75} is {159.57\%} of { 47}.

#### Solution for 47 is what percent of 75:

47:75*100 =

( 47*100):75 =

4700:75 = 62.67

Now we have: 47 is what percent of 75 = 62.67

Question: 47 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\%}={ 47}.

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

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

{x\%}={ 47}(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}{ 47}

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

\frac{x\%}{100\%}=\frac{ 47}{75}

\Rightarrow{x} = {62.67\%}

Therefore, { 47} is {62.67\%} of {75}.

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