Solution for 247.50 is what percent of 4.125:

247.50:4.125*100 =

(247.50*100):4.125 =

24750:4.125 = 6000

Now we have: 247.50 is what percent of 4.125 = 6000

Question: 247.50 is what percent of 4.125?

Percentage solution with steps:

Step 1: We make the assumption that 4.125 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\%}={4.125}.

Step 4: In the same vein, {x\%}={247.50}.

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

{100\%}={4.125}(1).

{x\%}={247.50}(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{4.125}{247.50}

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

\frac{x\%}{100\%}=\frac{247.50}{4.125}

\Rightarrow{x} = {6000\%}

Therefore, {247.50} is {6000\%} of {4.125}.

Solution for 4.125 is what percent of 247.50:

4.125:247.50*100 =

(4.125*100):247.50 =

412.5:247.50 = 1.6666666666667

Now we have: 4.125 is what percent of 247.50 = 1.6666666666667

Question: 4.125 is what percent of 247.50?

Percentage solution with steps:

Step 1: We make the assumption that 247.50 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\%}={247.50}.

Step 4: In the same vein, {x\%}={4.125}.

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

{100\%}={247.50}(1).

{x\%}={4.125}(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{247.50}{4.125}

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

\frac{x\%}{100\%}=\frac{4.125}{247.50}

\Rightarrow{x} = {1.6666666666667\%}

Therefore, {4.125} is {1.6666666666667\%} of {247.50}.

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