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Solution for 3600 is what percent of 40:

3600:40*100 =

(3600*100):40 =

360000:40 = 9000

Now we have: 3600 is what percent of 40 = 9000

Question: 3600 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\%}={3600}.

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

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

{x\%}={3600}(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}{3600}

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

\frac{x\%}{100\%}=\frac{3600}{40}

\Rightarrow{x} = {9000\%}

Therefore, {3600} is {9000\%} of {40}.

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Solution for 40 is what percent of 3600:

40:3600*100 =

(40*100):3600 =

4000:3600 = 1.11

Now we have: 40 is what percent of 3600 = 1.11

Question: 40 is what percent of 3600?

Percentage solution with steps:

Step 1: We make the assumption that 3600 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\%}={3600}.

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

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

{100\%}={3600}(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{3600}{40}

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

\frac{x\%}{100\%}=\frac{40}{3600}

\Rightarrow{x} = {1.11\%}

Therefore, {40} is {1.11\%} of {3600}.