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Solution for 55 is what percent of 780:

55:780*100 =

(55*100):780 =

5500:780 = 7.05

Now we have: 55 is what percent of 780 = 7.05

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{780}

\Rightarrow{x} = {7.05\%}

Therefore, {55} is {7.05\%} of {780}.

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Solution for 780 is what percent of 55:

780:55*100 =

(780*100):55 =

78000:55 = 1418.18

Now we have: 780 is what percent of 55 = 1418.18

Question: 780 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{780}

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

\frac{x\%}{100\%}=\frac{780}{55}

\Rightarrow{x} = {1418.18\%}

Therefore, {780} is {1418.18\%} of {55}.