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Solution for 40 is what percent of 5845:

40:5845*100 =

(40*100):5845 =

4000:5845 = 0.68

Now we have: 40 is what percent of 5845 = 0.68

Question: 40 is what percent of 5845?

Percentage solution with steps:

Step 1: We make the assumption that 5845 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\%}={5845}.

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

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

{100\%}={5845}(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{5845}{40}

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

\frac{x\%}{100\%}=\frac{40}{5845}

\Rightarrow{x} = {0.68\%}

Therefore, {40} is {0.68\%} of {5845}.

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Solution for 5845 is what percent of 40:

5845:40*100 =

(5845*100):40 =

584500:40 = 14612.5

Now we have: 5845 is what percent of 40 = 14612.5

Question: 5845 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\%}={5845}.

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

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

{x\%}={5845}(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}{5845}

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

\frac{x\%}{100\%}=\frac{5845}{40}

\Rightarrow{x} = {14612.5\%}

Therefore, {5845} is {14612.5\%} of {40}.