#### Solution for 58 is what percent of 75:

58:75*100 =

( 58*100):75 =

5800:75 = 77.33

Now we have: 58 is what percent of 75 = 77.33

Question: 58 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\%}={ 58}.

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

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

{x\%}={ 58}(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}{ 58}

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

\frac{x\%}{100\%}=\frac{ 58}{75}

\Rightarrow{x} = {77.33\%}

Therefore, { 58} is {77.33\%} of {75}.

#### Solution for 75 is what percent of 58:

75: 58*100 =

(75*100): 58 =

7500: 58 = 129.31

Now we have: 75 is what percent of 58 = 129.31

Question: 75 is what percent of 58?

Percentage solution with steps:

Step 1: We make the assumption that 58 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\%}={ 58}.

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

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

{100\%}={ 58}(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{ 58}{75}

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

\frac{x\%}{100\%}=\frac{75}{ 58}

\Rightarrow{x} = {129.31\%}

Therefore, {75} is {129.31\%} of { 58}.

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