#### Solution for 75 is what percent of 780:

75:780*100 =

(75*100):780 =

7500:780 = 9.62

Now we have: 75 is what percent of 780 = 9.62

Question: 75 is what percent of 780?

Percentage solution with steps:

Step 1: We make the assumption that 780 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\%}={780}.

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

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

{100\%}={780}(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{780}{75}

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

\frac{x\%}{100\%}=\frac{75}{780}

\Rightarrow{x} = {9.62\%}

Therefore, {75} is {9.62\%} of {780}.

#### Solution for 780 is what percent of 75:

780:75*100 =

(780*100):75 =

78000:75 = 1040

Now we have: 780 is what percent of 75 = 1040

Question: 780 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\%}={780}.

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

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

{x\%}={780}(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}{780}

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

\frac{x\%}{100\%}=\frac{780}{75}

\Rightarrow{x} = {1040\%}

Therefore, {780} is {1040\%} of {75}.

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