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Solution for 902 is what percent of 40:

902:40*100 =

(902*100):40 =

90200:40 = 2255

Now we have: 902 is what percent of 40 = 2255

Question: 902 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\%}={902}.

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

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

{x\%}={902}(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}{902}

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

\frac{x\%}{100\%}=\frac{902}{40}

\Rightarrow{x} = {2255\%}

Therefore, {902} is {2255\%} of {40}.

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• 902 is what percent of 41 = 2200
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Solution for 40 is what percent of 902:

40:902*100 =

(40*100):902 =

4000:902 = 4.43

Now we have: 40 is what percent of 902 = 4.43

Question: 40 is what percent of 902?

Percentage solution with steps:

Step 1: We make the assumption that 902 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\%}={902}.

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

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

{100\%}={902}(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{902}{40}

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

\frac{x\%}{100\%}=\frac{40}{902}

\Rightarrow{x} = {4.43\%}

Therefore, {40} is {4.43\%} of {902}.