#### Solution for 2.50 is what percent of 5.50:

2.50:5.50*100 =

(2.50*100):5.50 =

250:5.50 = 45.454545454545

Now we have: 2.50 is what percent of 5.50 = 45.454545454545

Question: 2.50 is what percent of 5.50?

Percentage solution with steps:

Step 1: We make the assumption that 5.50 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\%}={5.50}.

Step 4: In the same vein, {x\%}={2.50}.

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

{100\%}={5.50}(1).

{x\%}={2.50}(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{5.50}{2.50}

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

\frac{x\%}{100\%}=\frac{2.50}{5.50}

\Rightarrow{x} = {45.454545454545\%}

Therefore, {2.50} is {45.454545454545\%} of {5.50}.

#### Solution for 5.50 is what percent of 2.50:

5.50:2.50*100 =

(5.50*100):2.50 =

550:2.50 = 220

Now we have: 5.50 is what percent of 2.50 = 220

Question: 5.50 is what percent of 2.50?

Percentage solution with steps:

Step 1: We make the assumption that 2.50 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\%}={2.50}.

Step 4: In the same vein, {x\%}={5.50}.

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

{100\%}={2.50}(1).

{x\%}={5.50}(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{2.50}{5.50}

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

\frac{x\%}{100\%}=\frac{5.50}{2.50}

\Rightarrow{x} = {220\%}

Therefore, {5.50} is {220\%} of {2.50}.

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