#### Solution for 1538 is what percent of 40500:

1538:40500*100 =

(1538*100):40500 =

153800:40500 = 3.8

Now we have: 1538 is what percent of 40500 = 3.8

Question: 1538 is what percent of 40500?

Percentage solution with steps:

Step 1: We make the assumption that 40500 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\%}={40500}.

Step 4: In the same vein, {x\%}={1538}.

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

{100\%}={40500}(1).

{x\%}={1538}(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{40500}{1538}

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

\frac{x\%}{100\%}=\frac{1538}{40500}

\Rightarrow{x} = {3.8\%}

Therefore, {1538} is {3.8\%} of {40500}.

#### Solution for 40500 is what percent of 1538:

40500:1538*100 =

(40500*100):1538 =

4050000:1538 = 2633.29

Now we have: 40500 is what percent of 1538 = 2633.29

Question: 40500 is what percent of 1538?

Percentage solution with steps:

Step 1: We make the assumption that 1538 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\%}={1538}.

Step 4: In the same vein, {x\%}={40500}.

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

{100\%}={1538}(1).

{x\%}={40500}(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{1538}{40500}

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

\frac{x\%}{100\%}=\frac{40500}{1538}

\Rightarrow{x} = {2633.29\%}

Therefore, {40500} is {2633.29\%} of {1538}.

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