#### Solution for 13 is what percent of 69:

13:69*100 =

(13*100):69 =

1300:69 = 18.84

Now we have: 13 is what percent of 69 = 18.84

Question: 13 is what percent of 69?

Percentage solution with steps:

Step 1: We make the assumption that 69 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\%}={69}.

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

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

{100\%}={69}(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{69}{13}

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

\frac{x\%}{100\%}=\frac{13}{69}

\Rightarrow{x} = {18.84\%}

Therefore, {13} is {18.84\%} of {69}.

#### Solution for 69 is what percent of 13:

69:13*100 =

(69*100):13 =

6900:13 = 530.77

Now we have: 69 is what percent of 13 = 530.77

Question: 69 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\%}={69}.

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

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

{x\%}={69}(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}{69}

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

\frac{x\%}{100\%}=\frac{69}{13}

\Rightarrow{x} = {530.77\%}

Therefore, {69} is {530.77\%} of {13}.

Calculation Samples