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Solution for 162 is what percent of 80:

162:80*100 =

(162*100):80 =

16200:80 = 202.5

Now we have: 162 is what percent of 80 = 202.5

Question: 162 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

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

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

{100\%}={80}(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{80}{162}

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

\frac{x\%}{100\%}=\frac{162}{80}

\Rightarrow{x} = {202.5\%}

Therefore, {162} is {202.5\%} of {80}.

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Solution for 80 is what percent of 162:

80:162*100 =

(80*100):162 =

8000:162 = 49.38

Now we have: 80 is what percent of 162 = 49.38

Question: 80 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\%}={80}.

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

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

{x\%}={80}(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}{80}

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

\frac{x\%}{100\%}=\frac{80}{162}

\Rightarrow{x} = {49.38\%}

Therefore, {80} is {49.38\%} of {162}.