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Solution for 81.25 is what percent of 162.5:

81.25:162.5*100 =

(81.25*100):162.5 =

8125:162.5 = 50

Now we have: 81.25 is what percent of 162.5 = 50

Question: 81.25 is what percent of 162.5?

Percentage solution with steps:

Step 1: We make the assumption that 162.5 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\%}={162.5}.

Step 4: In the same vein, {x\%}={81.25}.

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

{100\%}={162.5}(1).

{x\%}={81.25}(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{162.5}{81.25}

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

\frac{x\%}{100\%}=\frac{81.25}{162.5}

\Rightarrow{x} = {50\%}

Therefore, {81.25} is {50\%} of {162.5}.

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Solution for 162.5 is what percent of 81.25:

162.5:81.25*100 =

(162.5*100):81.25 =

16250:81.25 = 200

Now we have: 162.5 is what percent of 81.25 = 200

Question: 162.5 is what percent of 81.25?

Percentage solution with steps:

Step 1: We make the assumption that 81.25 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\%}={81.25}.

Step 4: In the same vein, {x\%}={162.5}.

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

{100\%}={81.25}(1).

{x\%}={162.5}(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{81.25}{162.5}

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

\frac{x\%}{100\%}=\frac{162.5}{81.25}

\Rightarrow{x} = {200\%}

Therefore, {162.5} is {200\%} of {81.25}.