#### Solution for 6500 is what percent of 25:

6500:25*100 =

(6500*100):25 =

650000:25 = 26000

Now we have: 6500 is what percent of 25 = 26000

Question: 6500 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={25}.

Step 4: In the same vein, {x\%}={6500}.

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

{100\%}={25}(1).

{x\%}={6500}(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{25}{6500}

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

\frac{x\%}{100\%}=\frac{6500}{25}

\Rightarrow{x} = {26000\%}

Therefore, {6500} is {26000\%} of {25}.

#### Solution for 25 is what percent of 6500:

25:6500*100 =

(25*100):6500 =

2500:6500 = 0.38

Now we have: 25 is what percent of 6500 = 0.38

Question: 25 is what percent of 6500?

Percentage solution with steps:

Step 1: We make the assumption that 6500 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\%}={6500}.

Step 4: In the same vein, {x\%}={25}.

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

{100\%}={6500}(1).

{x\%}={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{6500}{25}

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

\frac{x\%}{100\%}=\frac{25}{6500}

\Rightarrow{x} = {0.38\%}

Therefore, {25} is {0.38\%} of {6500}.

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