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Solution for 15 is what percent of 205:

15:205*100 =

(15*100):205 =

1500:205 = 7.32

Now we have: 15 is what percent of 205 = 7.32

Question: 15 is what percent of 205?

Percentage solution with steps:

Step 1: We make the assumption that 205 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\%}={205}.

Step 4: In the same vein, {x\%}={15}.

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

{100\%}={205}(1).

{x\%}={15}(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{205}{15}

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

\frac{x\%}{100\%}=\frac{15}{205}

\Rightarrow{x} = {7.32\%}

Therefore, {15} is {7.32\%} of {205}.

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Solution for 205 is what percent of 15:

205:15*100 =

(205*100):15 =

20500:15 = 1366.67

Now we have: 205 is what percent of 15 = 1366.67

Question: 205 is what percent of 15?

Percentage solution with steps:

Step 1: We make the assumption that 15 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\%}={15}.

Step 4: In the same vein, {x\%}={205}.

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

{100\%}={15}(1).

{x\%}={205}(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{15}{205}

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

\frac{x\%}{100\%}=\frac{205}{15}

\Rightarrow{x} = {1366.67\%}

Therefore, {205} is {1366.67\%} of {15}.