#### Solution for 30.000 is what percent of 35.000:

30.000:35.000*100 =

(30.000*100):35.000 =

3000:35.000 = 85.714285714286

Now we have: 30.000 is what percent of 35.000 = 85.714285714286

Question: 30.000 is what percent of 35.000?

Percentage solution with steps:

Step 1: We make the assumption that 35.000 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\%}={35.000}.

Step 4: In the same vein, {x\%}={30.000}.

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

{100\%}={35.000}(1).

{x\%}={30.000}(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{35.000}{30.000}

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

\frac{x\%}{100\%}=\frac{30.000}{35.000}

\Rightarrow{x} = {85.714285714286\%}

Therefore, {30.000} is {85.714285714286\%} of {35.000}.

#### Solution for 35.000 is what percent of 30.000:

35.000:30.000*100 =

(35.000*100):30.000 =

3500:30.000 = 116.66666666667

Now we have: 35.000 is what percent of 30.000 = 116.66666666667

Question: 35.000 is what percent of 30.000?

Percentage solution with steps:

Step 1: We make the assumption that 30.000 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\%}={30.000}.

Step 4: In the same vein, {x\%}={35.000}.

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

{100\%}={30.000}(1).

{x\%}={35.000}(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{30.000}{35.000}

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

\frac{x\%}{100\%}=\frac{35.000}{30.000}

\Rightarrow{x} = {116.66666666667\%}

Therefore, {35.000} is {116.66666666667\%} of {30.000}.

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