#### Solution for 463 is what percent of 530:

463:530*100 =

(463*100):530 =

46300:530 = 87.36

Now we have: 463 is what percent of 530 = 87.36

Question: 463 is what percent of 530?

Percentage solution with steps:

Step 1: We make the assumption that 530 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\%}={530}.

Step 4: In the same vein, {x\%}={463}.

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

{100\%}={530}(1).

{x\%}={463}(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{530}{463}

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

\frac{x\%}{100\%}=\frac{463}{530}

\Rightarrow{x} = {87.36\%}

Therefore, {463} is {87.36\%} of {530}.

#### Solution for 530 is what percent of 463:

530:463*100 =

(530*100):463 =

53000:463 = 114.47

Now we have: 530 is what percent of 463 = 114.47

Question: 530 is what percent of 463?

Percentage solution with steps:

Step 1: We make the assumption that 463 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\%}={463}.

Step 4: In the same vein, {x\%}={530}.

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

{100\%}={463}(1).

{x\%}={530}(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{463}{530}

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

\frac{x\%}{100\%}=\frac{530}{463}

\Rightarrow{x} = {114.47\%}

Therefore, {530} is {114.47\%} of {463}.

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