#### Solution for 105 is what percent of 40000:

105:40000*100 =

(105*100):40000 =

10500:40000 = 0.26

Now we have: 105 is what percent of 40000 = 0.26

Question: 105 is what percent of 40000?

Percentage solution with steps:

Step 1: We make the assumption that 40000 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\%}={40000}.

Step 4: In the same vein, {x\%}={105}.

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

{100\%}={40000}(1).

{x\%}={105}(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{40000}{105}

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

\frac{x\%}{100\%}=\frac{105}{40000}

\Rightarrow{x} = {0.26\%}

Therefore, {105} is {0.26\%} of {40000}.

#### Solution for 40000 is what percent of 105:

40000:105*100 =

(40000*100):105 =

4000000:105 = 38095.24

Now we have: 40000 is what percent of 105 = 38095.24

Question: 40000 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={105}.

Step 4: In the same vein, {x\%}={40000}.

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

{100\%}={105}(1).

{x\%}={40000}(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{105}{40000}

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

\frac{x\%}{100\%}=\frac{40000}{105}

\Rightarrow{x} = {38095.24\%}

Therefore, {40000} is {38095.24\%} of {105}.

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