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Solution for 799 is what percent of 40:

799:40*100 =

(799*100):40 =

79900:40 = 1997.5

Now we have: 799 is what percent of 40 = 1997.5

Question: 799 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={799}.

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

{100\%}={40}(1).

{x\%}={799}(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{40}{799}

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

\frac{x\%}{100\%}=\frac{799}{40}

\Rightarrow{x} = {1997.5\%}

Therefore, {799} is {1997.5\%} of {40}.

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• 799 is what percent of 100 = 799

Solution for 40 is what percent of 799:

40:799*100 =

(40*100):799 =

4000:799 = 5.01

Now we have: 40 is what percent of 799 = 5.01

Question: 40 is what percent of 799?

Percentage solution with steps:

Step 1: We make the assumption that 799 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\%}={799}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={799}(1).

{x\%}={40}(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{799}{40}

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

\frac{x\%}{100\%}=\frac{40}{799}

\Rightarrow{x} = {5.01\%}

Therefore, {40} is {5.01\%} of {799}.