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Solution for 65 is what percent of 75:

65:75*100 =

(65*100):75 =

6500:75 = 86.67

Now we have: 65 is what percent of 75 = 86.67

Question: 65 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\%}={65}.

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

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

{x\%}={65}(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}{65}

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

\frac{x\%}{100\%}=\frac{65}{75}

\Rightarrow{x} = {86.67\%}

Therefore, {65} is {86.67\%} of {75}.

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Solution for 75 is what percent of 65:

75:65*100 =

(75*100):65 =

7500:65 = 115.38

Now we have: 75 is what percent of 65 = 115.38

Question: 75 is what percent of 65?

Percentage solution with steps:

Step 1: We make the assumption that 65 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\%}={65}.

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

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

{100\%}={65}(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{65}{75}

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

\frac{x\%}{100\%}=\frac{75}{65}

\Rightarrow{x} = {115.38\%}

Therefore, {75} is {115.38\%} of {65}.