#### Solution for 13 is what percent of 172:

13:172*100 =

(13*100):172 =

1300:172 = 7.56

Now we have: 13 is what percent of 172 = 7.56

Question: 13 is what percent of 172?

Percentage solution with steps:

Step 1: We make the assumption that 172 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\%}={172}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={172}(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{172}{13}

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

\frac{x\%}{100\%}=\frac{13}{172}

\Rightarrow{x} = {7.56\%}

Therefore, {13} is {7.56\%} of {172}.

#### Solution for 172 is what percent of 13:

172:13*100 =

(172*100):13 =

17200:13 = 1323.08

Now we have: 172 is what percent of 13 = 1323.08

Question: 172 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\%}={172}.

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

{100\%}={13}(1).

{x\%}={172}(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}{172}

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

\frac{x\%}{100\%}=\frac{172}{13}

\Rightarrow{x} = {1323.08\%}

Therefore, {172} is {1323.08\%} of {13}.

Calculation Samples