#### Solution for 3002 is what percent of 3500:

3002:3500*100 =

(3002*100):3500 =

300200:3500 = 85.77

Now we have: 3002 is what percent of 3500 = 85.77

Question: 3002 is what percent of 3500?

Percentage solution with steps:

Step 1: We make the assumption that 3500 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\%}={3500}.

Step 4: In the same vein, {x\%}={3002}.

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

{100\%}={3500}(1).

{x\%}={3002}(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{3500}{3002}

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

\frac{x\%}{100\%}=\frac{3002}{3500}

\Rightarrow{x} = {85.77\%}

Therefore, {3002} is {85.77\%} of {3500}.

#### Solution for 3500 is what percent of 3002:

3500:3002*100 =

(3500*100):3002 =

350000:3002 = 116.59

Now we have: 3500 is what percent of 3002 = 116.59

Question: 3500 is what percent of 3002?

Percentage solution with steps:

Step 1: We make the assumption that 3002 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\%}={3002}.

Step 4: In the same vein, {x\%}={3500}.

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

{100\%}={3002}(1).

{x\%}={3500}(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{3002}{3500}

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

\frac{x\%}{100\%}=\frac{3500}{3002}

\Rightarrow{x} = {116.59\%}

Therefore, {3500} is {116.59\%} of {3002}.

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