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Solution for 15 is what percent of 466:

15:466*100 =

(15*100):466 =

1500:466 = 3.22

Now we have: 15 is what percent of 466 = 3.22

Question: 15 is what percent of 466?

Percentage solution with steps:

Step 1: We make the assumption that 466 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\%}={466}.

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

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

{100\%}={466}(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{466}{15}

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

\frac{x\%}{100\%}=\frac{15}{466}

\Rightarrow{x} = {3.22\%}

Therefore, {15} is {3.22\%} of {466}.

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Solution for 466 is what percent of 15:

466:15*100 =

(466*100):15 =

46600:15 = 3106.67

Now we have: 466 is what percent of 15 = 3106.67

Question: 466 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\%}={466}.

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

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

{x\%}={466}(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}{466}

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

\frac{x\%}{100\%}=\frac{466}{15}

\Rightarrow{x} = {3106.67\%}

Therefore, {466} is {3106.67\%} of {15}.