#### Solution for 162 is what percent of 248:

162:248*100 =

(162*100):248 =

16200:248 = 65.32

Now we have: 162 is what percent of 248 = 65.32

Question: 162 is what percent of 248?

Percentage solution with steps:

Step 1: We make the assumption that 248 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\%}={248}.

Step 4: In the same vein, {x\%}={162}.

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

{100\%}={248}(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{248}{162}

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

\frac{x\%}{100\%}=\frac{162}{248}

\Rightarrow{x} = {65.32\%}

Therefore, {162} is {65.32\%} of {248}.

#### Solution for 248 is what percent of 162:

248:162*100 =

(248*100):162 =

24800:162 = 153.09

Now we have: 248 is what percent of 162 = 153.09

Question: 248 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\%}={248}.

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

{100\%}={162}(1).

{x\%}={248}(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}{248}

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

\frac{x\%}{100\%}=\frac{248}{162}

\Rightarrow{x} = {153.09\%}

Therefore, {248} is {153.09\%} of {162}.

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