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Solution for 78 is what percent of 17:

78:17*100 =

(78*100):17 =

7800:17 = 458.82

Now we have: 78 is what percent of 17 = 458.82

Question: 78 is what percent of 17?

Percentage solution with steps:

Step 1: We make the assumption that 17 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\%}={17}.

Step 4: In the same vein, {x\%}={78}.

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

{100\%}={17}(1).

{x\%}={78}(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{17}{78}

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

\frac{x\%}{100\%}=\frac{78}{17}

\Rightarrow{x} = {458.82\%}

Therefore, {78} is {458.82\%} of {17}.

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Solution for 17 is what percent of 78:

17:78*100 =

(17*100):78 =

1700:78 = 21.79

Now we have: 17 is what percent of 78 = 21.79

Question: 17 is what percent of 78?

Percentage solution with steps:

Step 1: We make the assumption that 78 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\%}={78}.

Step 4: In the same vein, {x\%}={17}.

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

{100\%}={78}(1).

{x\%}={17}(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{78}{17}

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

\frac{x\%}{100\%}=\frac{17}{78}

\Rightarrow{x} = {21.79\%}

Therefore, {17} is {21.79\%} of {78}.