#### Solution for 3500 is what percent of 1500:

3500:1500*100 =

(3500*100):1500 =

350000:1500 = 233.33

Now we have: 3500 is what percent of 1500 = 233.33

Question: 3500 is what percent of 1500?

Percentage solution with steps:

Step 1: We make the assumption that 1500 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\%}={1500}.

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

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

{100\%}={1500}(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{1500}{3500}

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

\frac{x\%}{100\%}=\frac{3500}{1500}

\Rightarrow{x} = {233.33\%}

Therefore, {3500} is {233.33\%} of {1500}.

#### Solution for 1500 is what percent of 3500:

1500:3500*100 =

(1500*100):3500 =

150000:3500 = 42.86

Now we have: 1500 is what percent of 3500 = 42.86

Question: 1500 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\%}={1500}.

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

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

{x\%}={1500}(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}{1500}

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

\frac{x\%}{100\%}=\frac{1500}{3500}

\Rightarrow{x} = {42.86\%}

Therefore, {1500} is {42.86\%} of {3500}.

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