#### Solution for 125 is what percent of 2.5:

125:2.5*100 =

(125*100):2.5 =

12500:2.5 = 5000

Now we have: 125 is what percent of 2.5 = 5000

Question: 125 is what percent of 2.5?

Percentage solution with steps:

Step 1: We make the assumption that 2.5 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\%}={2.5}.

Step 4: In the same vein, {x\%}={125}.

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

{100\%}={2.5}(1).

{x\%}={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{2.5}{125}

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

\frac{x\%}{100\%}=\frac{125}{2.5}

\Rightarrow{x} = {5000\%}

Therefore, {125} is {5000\%} of {2.5}.

#### Solution for 2.5 is what percent of 125:

2.5:125*100 =

(2.5*100):125 =

250:125 = 2

Now we have: 2.5 is what percent of 125 = 2

Question: 2.5 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={125}.

Step 4: In the same vein, {x\%}={2.5}.

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

{100\%}={125}(1).

{x\%}={2.5}(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{125}{2.5}

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

\frac{x\%}{100\%}=\frac{2.5}{125}

\Rightarrow{x} = {2\%}

Therefore, {2.5} is {2\%} of {125}.

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