#### Solution for 125 is what percent of 780:

125:780*100 =

(125*100):780 =

12500:780 = 16.03

Now we have: 125 is what percent of 780 = 16.03

Question: 125 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\%}={125}.

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

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

{x\%}={125}(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}{125}

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

\frac{x\%}{100\%}=\frac{125}{780}

\Rightarrow{x} = {16.03\%}

Therefore, {125} is {16.03\%} of {780}.

#### Solution for 780 is what percent of 125:

780:125*100 =

(780*100):125 =

78000:125 = 624

Now we have: 780 is what percent of 125 = 624

Question: 780 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 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\%}={125}.

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

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

{100\%}={125}(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{125}{780}

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

\frac{x\%}{100\%}=\frac{780}{125}

\Rightarrow{x} = {624\%}

Therefore, {780} is {624\%} of {125}.

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