#### Solution for 3500 is what percent of 20000:

3500: 20000*100 =

(3500*100): 20000 =

350000: 20000 = 17.5

Now we have: 3500 is what percent of 20000 = 17.5

Question: 3500 is what percent of 20000?

Percentage solution with steps:

Step 1: We make the assumption that 20000 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\%}={ 20000}.

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

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

{100\%}={ 20000}(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{ 20000}{3500}

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

\frac{x\%}{100\%}=\frac{3500}{ 20000}

\Rightarrow{x} = {17.5\%}

Therefore, {3500} is {17.5\%} of { 20000}.

#### Solution for 20000 is what percent of 3500:

20000:3500*100 =

( 20000*100):3500 =

2000000:3500 = 571.43

Now we have: 20000 is what percent of 3500 = 571.43

Question: 20000 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\%}={ 20000}.

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

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

{x\%}={ 20000}(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}{ 20000}

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

\frac{x\%}{100\%}=\frac{ 20000}{3500}

\Rightarrow{x} = {571.43\%}

Therefore, { 20000} is {571.43\%} of {3500}.

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