#### Solution for 3.5 is what percent of 8.75:

3.5: 8.75*100 =

(3.5*100): 8.75 =

350: 8.75 = 40

Now we have: 3.5 is what percent of 8.75 = 40

Question: 3.5 is what percent of 8.75?

Percentage solution with steps:

Step 1: We make the assumption that 8.75 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\%}={ 8.75}.

Step 4: In the same vein, {x\%}={3.5}.

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

{100\%}={ 8.75}(1).

{x\%}={3.5}(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{ 8.75}{3.5}

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

\frac{x\%}{100\%}=\frac{3.5}{ 8.75}

\Rightarrow{x} = {40\%}

Therefore, {3.5} is {40\%} of { 8.75}.

#### Solution for 8.75 is what percent of 3.5:

8.75:3.5*100 =

( 8.75*100):3.5 =

875:3.5 = 250

Now we have: 8.75 is what percent of 3.5 = 250

Question: 8.75 is what percent of 3.5?

Percentage solution with steps:

Step 1: We make the assumption that 3.5 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\%}={3.5}.

Step 4: In the same vein, {x\%}={ 8.75}.

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

{100\%}={3.5}(1).

{x\%}={ 8.75}(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{3.5}{ 8.75}

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

\frac{x\%}{100\%}=\frac{ 8.75}{3.5}

\Rightarrow{x} = {250\%}

Therefore, { 8.75} is {250\%} of {3.5}.

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