#### Solution for 7.000 is what percent of 20.000:

7.000:20.000*100 =

(7.000*100):20.000 =

700:20.000 = 35

Now we have: 7.000 is what percent of 20.000 = 35

Question: 7.000 is what percent of 20.000?

Percentage solution with steps:

Step 1: We make the assumption that 20.000 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\%}={20.000}.

Step 4: In the same vein, {x\%}={7.000}.

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

{100\%}={20.000}(1).

{x\%}={7.000}(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{20.000}{7.000}

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

\frac{x\%}{100\%}=\frac{7.000}{20.000}

\Rightarrow{x} = {35\%}

Therefore, {7.000} is {35\%} of {20.000}.

#### Solution for 20.000 is what percent of 7.000:

20.000:7.000*100 =

(20.000*100):7.000 =

2000:7.000 = 285.71428571429

Now we have: 20.000 is what percent of 7.000 = 285.71428571429

Question: 20.000 is what percent of 7.000?

Percentage solution with steps:

Step 1: We make the assumption that 7.000 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\%}={7.000}.

Step 4: In the same vein, {x\%}={20.000}.

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

{100\%}={7.000}(1).

{x\%}={20.000}(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{7.000}{20.000}

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

\frac{x\%}{100\%}=\frac{20.000}{7.000}

\Rightarrow{x} = {285.71428571429\%}

Therefore, {20.000} is {285.71428571429\%} of {7.000}.

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