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Solution for 40 is what percent of 709:

40:709*100 =

(40*100):709 =

4000:709 = 5.64

Now we have: 40 is what percent of 709 = 5.64

Question: 40 is what percent of 709?

Percentage solution with steps:

Step 1: We make the assumption that 709 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\%}={709}.

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

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

{100\%}={709}(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{709}{40}

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

\frac{x\%}{100\%}=\frac{40}{709}

\Rightarrow{x} = {5.64\%}

Therefore, {40} is {5.64\%} of {709}.

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Solution for 709 is what percent of 40:

709:40*100 =

(709*100):40 =

70900:40 = 1772.5

Now we have: 709 is what percent of 40 = 1772.5

Question: 709 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\%}={709}.

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

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

{x\%}={709}(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}{709}

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

\frac{x\%}{100\%}=\frac{709}{40}

\Rightarrow{x} = {1772.5\%}

Therefore, {709} is {1772.5\%} of {40}.