#### Solution for 872 is what percent of 40000:

872:40000*100 =

(872*100):40000 =

87200:40000 = 2.18

Now we have: 872 is what percent of 40000 = 2.18

Question: 872 is what percent of 40000?

Percentage solution with steps:

Step 1: We make the assumption that 40000 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\%}={40000}.

Step 4: In the same vein, {x\%}={872}.

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

{100\%}={40000}(1).

{x\%}={872}(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{40000}{872}

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

\frac{x\%}{100\%}=\frac{872}{40000}

\Rightarrow{x} = {2.18\%}

Therefore, {872} is {2.18\%} of {40000}.

#### Solution for 40000 is what percent of 872:

40000:872*100 =

(40000*100):872 =

4000000:872 = 4587.16

Now we have: 40000 is what percent of 872 = 4587.16

Question: 40000 is what percent of 872?

Percentage solution with steps:

Step 1: We make the assumption that 872 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\%}={872}.

Step 4: In the same vein, {x\%}={40000}.

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

{100\%}={872}(1).

{x\%}={40000}(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{872}{40000}

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

\frac{x\%}{100\%}=\frac{40000}{872}

\Rightarrow{x} = {4587.16\%}

Therefore, {40000} is {4587.16\%} of {872}.

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