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Solution for 79 is what percent of 20:

79:20*100 =

(79*100):20 =

7900:20 = 395

Now we have: 79 is what percent of 20 = 395

Question: 79 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={79}.

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

{100\%}={20}(1).

{x\%}={79}(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{20}{79}

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

\frac{x\%}{100\%}=\frac{79}{20}

\Rightarrow{x} = {395\%}

Therefore, {79} is {395\%} of {20}.

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Solution for 20 is what percent of 79:

20:79*100 =

(20*100):79 =

2000:79 = 25.32

Now we have: 20 is what percent of 79 = 25.32

Question: 20 is what percent of 79?

Percentage solution with steps:

Step 1: We make the assumption that 79 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\%}={79}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={79}(1).

{x\%}={20}(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{79}{20}

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

\frac{x\%}{100\%}=\frac{20}{79}

\Rightarrow{x} = {25.32\%}

Therefore, {20} is {25.32\%} of {79}.