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Solution for 40 is what percent of 5640:

40:5640*100 =

(40*100):5640 =

4000:5640 = 0.71

Now we have: 40 is what percent of 5640 = 0.71

Question: 40 is what percent of 5640?

Percentage solution with steps:

Step 1: We make the assumption that 5640 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\%}={5640}.

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

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

{100\%}={5640}(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{5640}{40}

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

\frac{x\%}{100\%}=\frac{40}{5640}

\Rightarrow{x} = {0.71\%}

Therefore, {40} is {0.71\%} of {5640}.

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Solution for 5640 is what percent of 40:

5640:40*100 =

(5640*100):40 =

564000:40 = 14100

Now we have: 5640 is what percent of 40 = 14100

Question: 5640 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\%}={5640}.

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

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

{x\%}={5640}(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}{5640}

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

\frac{x\%}{100\%}=\frac{5640}{40}

\Rightarrow{x} = {14100\%}

Therefore, {5640} is {14100\%} of {40}.