#### Solution for 31.25 is what percent of 8000:

31.25:8000*100 =

(31.25*100):8000 =

3125:8000 = 0.390625

Now we have: 31.25 is what percent of 8000 = 0.390625

Question: 31.25 is what percent of 8000?

Percentage solution with steps:

Step 1: We make the assumption that 8000 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\%}={8000}.

Step 4: In the same vein, {x\%}={31.25}.

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

{100\%}={8000}(1).

{x\%}={31.25}(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{8000}{31.25}

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

\frac{x\%}{100\%}=\frac{31.25}{8000}

\Rightarrow{x} = {0.390625\%}

Therefore, {31.25} is {0.390625\%} of {8000}.

#### Solution for 8000 is what percent of 31.25:

8000:31.25*100 =

(8000*100):31.25 =

800000:31.25 = 25600

Now we have: 8000 is what percent of 31.25 = 25600

Question: 8000 is what percent of 31.25?

Percentage solution with steps:

Step 1: We make the assumption that 31.25 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\%}={31.25}.

Step 4: In the same vein, {x\%}={8000}.

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

{100\%}={31.25}(1).

{x\%}={8000}(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{31.25}{8000}

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

\frac{x\%}{100\%}=\frac{8000}{31.25}

\Rightarrow{x} = {25600\%}

Therefore, {8000} is {25600\%} of {31.25}.

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