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Solution for 40 is what percent of 5825:

40:5825*100 =

(40*100):5825 =

4000:5825 = 0.69

Now we have: 40 is what percent of 5825 = 0.69

Question: 40 is what percent of 5825?

Percentage solution with steps:

Step 1: We make the assumption that 5825 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\%}={5825}.

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

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

{100\%}={5825}(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{5825}{40}

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

\frac{x\%}{100\%}=\frac{40}{5825}

\Rightarrow{x} = {0.69\%}

Therefore, {40} is {0.69\%} of {5825}.

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Solution for 5825 is what percent of 40:

5825:40*100 =

(5825*100):40 =

582500:40 = 14562.5

Now we have: 5825 is what percent of 40 = 14562.5

Question: 5825 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\%}={5825}.

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

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

{x\%}={5825}(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}{5825}

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

\frac{x\%}{100\%}=\frac{5825}{40}

\Rightarrow{x} = {14562.5\%}

Therefore, {5825} is {14562.5\%} of {40}.