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Solution for 3800 is what percent of 40:

3800:40*100 =

(3800*100):40 =

380000:40 = 9500

Now we have: 3800 is what percent of 40 = 9500

Question: 3800 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={3800}.

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

{100\%}={40}(1).

{x\%}={3800}(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{40}{3800}

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

\frac{x\%}{100\%}=\frac{3800}{40}

\Rightarrow{x} = {9500\%}

Therefore, {3800} is {9500\%} of {40}.

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Solution for 40 is what percent of 3800:

40:3800*100 =

(40*100):3800 =

4000:3800 = 1.05

Now we have: 40 is what percent of 3800 = 1.05

Question: 40 is what percent of 3800?

Percentage solution with steps:

Step 1: We make the assumption that 3800 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\%}={3800}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={3800}(1).

{x\%}={40}(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{3800}{40}

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

\frac{x\%}{100\%}=\frac{40}{3800}

\Rightarrow{x} = {1.05\%}

Therefore, {40} is {1.05\%} of {3800}.