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Solution for 902 is what percent of 35:

902:35*100 =

(902*100):35 =

90200:35 = 2577.14

Now we have: 902 is what percent of 35 = 2577.14

Question: 902 is what percent of 35?

Percentage solution with steps:

Step 1: We make the assumption that 35 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\%}={35}.

Step 4: In the same vein, {x\%}={902}.

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

{100\%}={35}(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{35}{902}

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

\frac{x\%}{100\%}=\frac{902}{35}

\Rightarrow{x} = {2577.14\%}

Therefore, {902} is {2577.14\%} of {35}.

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Solution for 35 is what percent of 902:

35:902*100 =

(35*100):902 =

3500:902 = 3.88

Now we have: 35 is what percent of 902 = 3.88

Question: 35 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\%}={35}.

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

{100\%}={902}(1).

{x\%}={35}(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}{35}

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

\frac{x\%}{100\%}=\frac{35}{902}

\Rightarrow{x} = {3.88\%}

Therefore, {35} is {3.88\%} of {902}.