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Solution for 25 is what percent of 415:

25:415*100 =

(25*100):415 =

2500:415 = 6.02

Now we have: 25 is what percent of 415 = 6.02

Question: 25 is what percent of 415?

Percentage solution with steps:

Step 1: We make the assumption that 415 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\%}={415}.

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

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

{100\%}={415}(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{415}{25}

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

\frac{x\%}{100\%}=\frac{25}{415}

\Rightarrow{x} = {6.02\%}

Therefore, {25} is {6.02\%} of {415}.

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Solution for 415 is what percent of 25:

415:25*100 =

(415*100):25 =

41500:25 = 1660

Now we have: 415 is what percent of 25 = 1660

Question: 415 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\%}={415}.

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

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

{x\%}={415}(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}{415}

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

\frac{x\%}{100\%}=\frac{415}{25}

\Rightarrow{x} = {1660\%}

Therefore, {415} is {1660\%} of {25}.