#### Solution for 15 is what percent of 780:

15:780*100 =

(15*100):780 =

1500:780 = 1.92

Now we have: 15 is what percent of 780 = 1.92

Question: 15 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\%}={15}.

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

{100\%}={780}(1).

{x\%}={15}(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}{15}

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

\frac{x\%}{100\%}=\frac{15}{780}

\Rightarrow{x} = {1.92\%}

Therefore, {15} is {1.92\%} of {780}.

#### Solution for 780 is what percent of 15:

780:15*100 =

(780*100):15 =

78000:15 = 5200

Now we have: 780 is what percent of 15 = 5200

Question: 780 is what percent of 15?

Percentage solution with steps:

Step 1: We make the assumption that 15 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\%}={15}.

Step 4: In the same vein, {x\%}={780}.

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

{100\%}={15}(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{15}{780}

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

\frac{x\%}{100\%}=\frac{780}{15}

\Rightarrow{x} = {5200\%}

Therefore, {780} is {5200\%} of {15}.

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