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Solution for 162 is what percent of 49:

162:49*100 =

(162*100):49 =

16200:49 = 330.61

Now we have: 162 is what percent of 49 = 330.61

Question: 162 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

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

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

{100\%}={49}(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{49}{162}

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

\frac{x\%}{100\%}=\frac{162}{49}

\Rightarrow{x} = {330.61\%}

Therefore, {162} is {330.61\%} of {49}.

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Solution for 49 is what percent of 162:

49:162*100 =

(49*100):162 =

4900:162 = 30.25

Now we have: 49 is what percent of 162 = 30.25

Question: 49 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\%}={49}.

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

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

{x\%}={49}(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}{49}

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

\frac{x\%}{100\%}=\frac{49}{162}

\Rightarrow{x} = {30.25\%}

Therefore, {49} is {30.25\%} of {162}.