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Solution for 875 is what percent of 40:

875:40*100 =

(875*100):40 =

87500:40 = 2187.5

Now we have: 875 is what percent of 40 = 2187.5

Question: 875 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\%}={875}.

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

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

{x\%}={875}(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}{875}

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

\frac{x\%}{100\%}=\frac{875}{40}

\Rightarrow{x} = {2187.5\%}

Therefore, {875} is {2187.5\%} of {40}.

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Solution for 40 is what percent of 875:

40:875*100 =

(40*100):875 =

4000:875 = 4.57

Now we have: 40 is what percent of 875 = 4.57

Question: 40 is what percent of 875?

Percentage solution with steps:

Step 1: We make the assumption that 875 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\%}={875}.

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

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

{100\%}={875}(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{875}{40}

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

\frac{x\%}{100\%}=\frac{40}{875}

\Rightarrow{x} = {4.57\%}

Therefore, {40} is {4.57\%} of {875}.