#### Solution for 505 is what percent of 780:

505:780*100 =

(505*100):780 =

50500:780 = 64.74

Now we have: 505 is what percent of 780 = 64.74

Question: 505 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\%}={505}.

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

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

{x\%}={505}(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}{505}

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

\frac{x\%}{100\%}=\frac{505}{780}

\Rightarrow{x} = {64.74\%}

Therefore, {505} is {64.74\%} of {780}.

#### Solution for 780 is what percent of 505:

780:505*100 =

(780*100):505 =

78000:505 = 154.46

Now we have: 780 is what percent of 505 = 154.46

Question: 780 is what percent of 505?

Percentage solution with steps:

Step 1: We make the assumption that 505 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\%}={505}.

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

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

{100\%}={505}(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{505}{780}

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

\frac{x\%}{100\%}=\frac{780}{505}

\Rightarrow{x} = {154.46\%}

Therefore, {780} is {154.46\%} of {505}.

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