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Solution for 838 is what percent of 85:

838:85*100 =

(838*100):85 =

83800:85 = 985.88

Now we have: 838 is what percent of 85 = 985.88

Question: 838 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

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

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

{100\%}={85}(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{85}{838}

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

\frac{x\%}{100\%}=\frac{838}{85}

\Rightarrow{x} = {985.88\%}

Therefore, {838} is {985.88\%} of {85}.

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• 838 is what percent of 100 = 838

Solution for 85 is what percent of 838:

85:838*100 =

(85*100):838 =

8500:838 = 10.14

Now we have: 85 is what percent of 838 = 10.14

Question: 85 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\%}={85}.

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

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

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{838}

\Rightarrow{x} = {10.14\%}

Therefore, {85} is {10.14\%} of {838}.