#### Solution for 312.50 is what percent of 25000:

312.50:25000*100 =

(312.50*100):25000 =

31250:25000 = 1.25

Now we have: 312.50 is what percent of 25000 = 1.25

Question: 312.50 is what percent of 25000?

Percentage solution with steps:

Step 1: We make the assumption that 25000 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\%}={25000}.

Step 4: In the same vein, {x\%}={312.50}.

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

{100\%}={25000}(1).

{x\%}={312.50}(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{25000}{312.50}

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

\frac{x\%}{100\%}=\frac{312.50}{25000}

\Rightarrow{x} = {1.25\%}

Therefore, {312.50} is {1.25\%} of {25000}.

#### Solution for 25000 is what percent of 312.50:

25000:312.50*100 =

(25000*100):312.50 =

2500000:312.50 = 8000

Now we have: 25000 is what percent of 312.50 = 8000

Question: 25000 is what percent of 312.50?

Percentage solution with steps:

Step 1: We make the assumption that 312.50 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\%}={312.50}.

Step 4: In the same vein, {x\%}={25000}.

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

{100\%}={312.50}(1).

{x\%}={25000}(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{312.50}{25000}

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

\frac{x\%}{100\%}=\frac{25000}{312.50}

\Rightarrow{x} = {8000\%}

Therefore, {25000} is {8000\%} of {312.50}.

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