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Solution for 169 is what percent of 25:

169:25*100 =

(169*100):25 =

16900:25 = 676

Now we have: 169 is what percent of 25 = 676

Question: 169 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\%}={169}.

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

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

{x\%}={169}(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}{169}

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

\frac{x\%}{100\%}=\frac{169}{25}

\Rightarrow{x} = {676\%}

Therefore, {169} is {676\%} of {25}.

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Solution for 25 is what percent of 169:

25:169*100 =

(25*100):169 =

2500:169 = 14.79

Now we have: 25 is what percent of 169 = 14.79

Question: 25 is what percent of 169?

Percentage solution with steps:

Step 1: We make the assumption that 169 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\%}={169}.

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

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

{100\%}={169}(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{169}{25}

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

\frac{x\%}{100\%}=\frac{25}{169}

\Rightarrow{x} = {14.79\%}

Therefore, {25} is {14.79\%} of {169}.