#### Solution for 25 is what percent of 407.5:

25:407.5*100 =

(25*100):407.5 =

2500:407.5 = 6.1349693251534

Now we have: 25 is what percent of 407.5 = 6.1349693251534

Question: 25 is what percent of 407.5?

Percentage solution with steps:

Step 1: We make the assumption that 407.5 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\%}={407.5}.

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

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

{100\%}={407.5}(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{407.5}{25}

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

\frac{x\%}{100\%}=\frac{25}{407.5}

\Rightarrow{x} = {6.1349693251534\%}

Therefore, {25} is {6.1349693251534\%} of {407.5}.

#### Solution for 407.5 is what percent of 25:

407.5:25*100 =

(407.5*100):25 =

40750:25 = 1630

Now we have: 407.5 is what percent of 25 = 1630

Question: 407.5 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\%}={407.5}.

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

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

{x\%}={407.5}(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}{407.5}

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

\frac{x\%}{100\%}=\frac{407.5}{25}

\Rightarrow{x} = {1630\%}

Therefore, {407.5} is {1630\%} of {25}.

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