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Solution for 838 is what percent of 52:

838:52*100 =

(838*100):52 =

83800:52 = 1611.54

Now we have: 838 is what percent of 52 = 1611.54

Question: 838 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

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

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

{100\%}={52}(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{52}{838}

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

\frac{x\%}{100\%}=\frac{838}{52}

\Rightarrow{x} = {1611.54\%}

Therefore, {838} is {1611.54\%} of {52}.

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• 838 is what percent of 100 = 838

Solution for 52 is what percent of 838:

52:838*100 =

(52*100):838 =

5200:838 = 6.21

Now we have: 52 is what percent of 838 = 6.21

Question: 52 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\%}={52}.

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

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

{x\%}={52}(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}{52}

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

\frac{x\%}{100\%}=\frac{52}{838}

\Rightarrow{x} = {6.21\%}

Therefore, {52} is {6.21\%} of {838}.