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Solution for 162.5 is what percent of 25:

162.5:25*100 =

(162.5*100):25 =

16250:25 = 650

Now we have: 162.5 is what percent of 25 = 650

Question: 162.5 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\%}={162.5}.

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

{100\%}={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{25}{162.5}

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

\frac{x\%}{100\%}=\frac{162.5}{25}

\Rightarrow{x} = {650\%}

Therefore, {162.5} is {650\%} of {25}.

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• 162.5 is what percent of 100 = 162.5

Solution for 25 is what percent of 162.5:

25:162.5*100 =

(25*100):162.5 =

2500:162.5 = 15.384615384615

Now we have: 25 is what percent of 162.5 = 15.384615384615

Question: 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\%}={25}.

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

{100\%}={162.5}(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{162.5}{25}

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

\frac{x\%}{100\%}=\frac{25}{162.5}

\Rightarrow{x} = {15.384615384615\%}

Therefore, {25} is {15.384615384615\%} of {162.5}.