#### Solution for 79 is what percent of 2000:

79:2000*100 =

(79*100):2000 =

7900:2000 = 3.95

Now we have: 79 is what percent of 2000 = 3.95

Question: 79 is what percent of 2000?

Percentage solution with steps:

Step 1: We make the assumption that 2000 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\%}={2000}.

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

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

{100\%}={2000}(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{2000}{79}

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

\frac{x\%}{100\%}=\frac{79}{2000}

\Rightarrow{x} = {3.95\%}

Therefore, {79} is {3.95\%} of {2000}.

#### Solution for 2000 is what percent of 79:

2000:79*100 =

(2000*100):79 =

200000:79 = 2531.65

Now we have: 2000 is what percent of 79 = 2531.65

Question: 2000 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\%}={2000}.

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

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

{x\%}={2000}(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}{2000}

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

\frac{x\%}{100\%}=\frac{2000}{79}

\Rightarrow{x} = {2531.65\%}

Therefore, {2000} is {2531.65\%} of {79}.

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