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Solution for 72 is what percent of 460:

72:460*100 =

(72*100):460 =

7200:460 = 15.65

Now we have: 72 is what percent of 460 = 15.65

Question: 72 is what percent of 460?

Percentage solution with steps:

Step 1: We make the assumption that 460 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\%}={460}.

Step 4: In the same vein, {x\%}={72}.

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

{100\%}={460}(1).

{x\%}={72}(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{460}{72}

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

\frac{x\%}{100\%}=\frac{72}{460}

\Rightarrow{x} = {15.65\%}

Therefore, {72} is {15.65\%} of {460}.

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Solution for 460 is what percent of 72:

460:72*100 =

(460*100):72 =

46000:72 = 638.89

Now we have: 460 is what percent of 72 = 638.89

Question: 460 is what percent of 72?

Percentage solution with steps:

Step 1: We make the assumption that 72 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\%}={72}.

Step 4: In the same vein, {x\%}={460}.

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

{100\%}={72}(1).

{x\%}={460}(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{72}{460}

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

\frac{x\%}{100\%}=\frac{460}{72}

\Rightarrow{x} = {638.89\%}

Therefore, {460} is {638.89\%} of {72}.