#### Solution for 720 is what percent of 83:

720:83*100 =

(720*100):83 =

72000:83 = 867.47

Now we have: 720 is what percent of 83 = 867.47

Question: 720 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

Step 4: In the same vein, {x\%}={720}.

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

{100\%}={83}(1).

{x\%}={720}(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{83}{720}

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

\frac{x\%}{100\%}=\frac{720}{83}

\Rightarrow{x} = {867.47\%}

Therefore, {720} is {867.47\%} of {83}.

#### Solution for 83 is what percent of 720:

83:720*100 =

(83*100):720 =

8300:720 = 11.53

Now we have: 83 is what percent of 720 = 11.53

Question: 83 is what percent of 720?

Percentage solution with steps:

Step 1: We make the assumption that 720 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\%}={720}.

Step 4: In the same vein, {x\%}={83}.

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

{100\%}={720}(1).

{x\%}={83}(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{720}{83}

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

\frac{x\%}{100\%}=\frac{83}{720}

\Rightarrow{x} = {11.53\%}

Therefore, {83} is {11.53\%} of {720}.

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