#### Solution for 40 is what percent of 4875:

40:4875*100 =

(40*100):4875 =

4000:4875 = 0.82

Now we have: 40 is what percent of 4875 = 0.82

Question: 40 is what percent of 4875?

Percentage solution with steps:

Step 1: We make the assumption that 4875 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\%}={4875}.

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

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

{100\%}={4875}(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{4875}{40}

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

\frac{x\%}{100\%}=\frac{40}{4875}

\Rightarrow{x} = {0.82\%}

Therefore, {40} is {0.82\%} of {4875}.

#### Solution for 4875 is what percent of 40:

4875:40*100 =

(4875*100):40 =

487500:40 = 12187.5

Now we have: 4875 is what percent of 40 = 12187.5

Question: 4875 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\%}={4875}.

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

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

{x\%}={4875}(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}{4875}

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

\frac{x\%}{100\%}=\frac{4875}{40}

\Rightarrow{x} = {12187.5\%}

Therefore, {4875} is {12187.5\%} of {40}.

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