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Solution for 838 is what percent of 45:

838:45*100 =

(838*100):45 =

83800:45 = 1862.22

Now we have: 838 is what percent of 45 = 1862.22

Question: 838 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

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

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

{100\%}={45}(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{45}{838}

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

\frac{x\%}{100\%}=\frac{838}{45}

\Rightarrow{x} = {1862.22\%}

Therefore, {838} is {1862.22\%} of {45}.

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• 838 is what percent of 100 = 838

Solution for 45 is what percent of 838:

45:838*100 =

(45*100):838 =

4500:838 = 5.37

Now we have: 45 is what percent of 838 = 5.37

Question: 45 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\%}={45}.

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

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

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{838}

\Rightarrow{x} = {5.37\%}

Therefore, {45} is {5.37\%} of {838}.