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Solution for 838 is what percent of 96:

838:96*100 =

(838*100):96 =

83800:96 = 872.92

Now we have: 838 is what percent of 96 = 872.92

Question: 838 is what percent of 96?

Percentage solution with steps:

Step 1: We make the assumption that 96 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\%}={96}.

Step 4: In the same vein, {x\%}={838}.

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

{100\%}={96}(1).

{x\%}={838}(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{96}{838}

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

\frac{x\%}{100\%}=\frac{838}{96}

\Rightarrow{x} = {872.92\%}

Therefore, {838} is {872.92\%} of {96}.

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• 838 is what percent of 100 = 838

Solution for 96 is what percent of 838:

96:838*100 =

(96*100):838 =

9600:838 = 11.46

Now we have: 96 is what percent of 838 = 11.46

Question: 96 is what percent of 838?

Percentage solution with steps:

Step 1: We make the assumption that 838 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\%}={838}.

Step 4: In the same vein, {x\%}={96}.

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

{100\%}={838}(1).

{x\%}={96}(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{838}{96}

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

\frac{x\%}{100\%}=\frac{96}{838}

\Rightarrow{x} = {11.46\%}

Therefore, {96} is {11.46\%} of {838}.