#### Solution for 10.4 is what percent of 83:

10.4:83*100 =

(10.4*100):83 =

1040:83 = 12.530120481928

Now we have: 10.4 is what percent of 83 = 12.530120481928

Question: 10.4 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\%}={10.4}.

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

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

{x\%}={10.4}(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}{10.4}

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

\frac{x\%}{100\%}=\frac{10.4}{83}

\Rightarrow{x} = {12.530120481928\%}

Therefore, {10.4} is {12.530120481928\%} of {83}.

#### Solution for 83 is what percent of 10.4:

83:10.4*100 =

(83*100):10.4 =

8300:10.4 = 798.07692307692

Now we have: 83 is what percent of 10.4 = 798.07692307692

Question: 83 is what percent of 10.4?

Percentage solution with steps:

Step 1: We make the assumption that 10.4 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\%}={10.4}.

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

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

{100\%}={10.4}(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{10.4}{83}

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

\frac{x\%}{100\%}=\frac{83}{10.4}

\Rightarrow{x} = {798.07692307692\%}

Therefore, {83} is {798.07692307692\%} of {10.4}.

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