#### Solution for 13 is what percent of 190:

13:190*100 =

(13*100):190 =

1300:190 = 6.84

Now we have: 13 is what percent of 190 = 6.84

Question: 13 is what percent of 190?

Percentage solution with steps:

Step 1: We make the assumption that 190 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\%}={190}.

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

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

{100\%}={190}(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{190}{13}

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

\frac{x\%}{100\%}=\frac{13}{190}

\Rightarrow{x} = {6.84\%}

Therefore, {13} is {6.84\%} of {190}.

#### Solution for 190 is what percent of 13:

190:13*100 =

(190*100):13 =

19000:13 = 1461.54

Now we have: 190 is what percent of 13 = 1461.54

Question: 190 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\%}={190}.

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

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

{x\%}={190}(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}{190}

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

\frac{x\%}{100\%}=\frac{190}{13}

\Rightarrow{x} = {1461.54\%}

Therefore, {190} is {1461.54\%} of {13}.

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