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Solution for 162.5 is what percent of 13:

162.5:13*100 =

(162.5*100):13 =

16250:13 = 1250

Now we have: 162.5 is what percent of 13 = 1250

Question: 162.5 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

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

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

{100\%}={13}(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{13}{162.5}

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

\frac{x\%}{100\%}=\frac{162.5}{13}

\Rightarrow{x} = {1250\%}

Therefore, {162.5} is {1250\%} of {13}.

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• 162.5 is what percent of 100 = 162.5

Solution for 13 is what percent of 162.5:

13:162.5*100 =

(13*100):162.5 =

1300:162.5 = 8

Now we have: 13 is what percent of 162.5 = 8

Question: 13 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\%}={13}.

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

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

{x\%}={13}(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}{13}

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

\frac{x\%}{100\%}=\frac{13}{162.5}

\Rightarrow{x} = {8\%}

Therefore, {13} is {8\%} of {162.5}.