#### Solution for 25 is what percent of 162:

25:162*100 =

(25*100):162 =

2500:162 = 15.43

**Now we have: 25 is what percent of 162 = 15.43**

**Question: 25 is what percent of 162?**

Percentage solution with steps:

Step 1: We make the assumption that 162 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\%}={162}.

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

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

{100\%}={162}(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{162}{25}

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

\frac{x\%}{100\%}=\frac{25}{162}

\Rightarrow{x} = {15.43\%}

Therefore, {25} is {15.43\%} of {162}.

#### Solution for 162 is what percent of 25:

162:25*100 =

(162*100):25 =

16200:25 = 648

**Now we have: 162 is what percent of 25 = 648**

**Question: 162 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\%}={162}.

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

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

{x\%}={162}(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}{162}

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

\frac{x\%}{100\%}=\frac{162}{25}

\Rightarrow{x} = {648\%}

Therefore, {162} is {648\%} of {25}.

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