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Solution for 152.5 is what percent of 25:

152.5:25*100 =

(152.5*100):25 =

15250:25 = 610

Now we have: 152.5 is what percent of 25 = 610

Question: 152.5 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 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\%}={25}.

Step 4: In the same vein, {x\%}={152.5}.

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

{100\%}={25}(1).

{x\%}={152.5}(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{25}{152.5}

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

\frac{x\%}{100\%}=\frac{152.5}{25}

\Rightarrow{x} = {610\%}

Therefore, {152.5} is {610\%} of {25}.

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• 152.5 is what percent of 100 = 152.5

Solution for 25 is what percent of 152.5:

25:152.5*100 =

(25*100):152.5 =

2500:152.5 = 16.393442622951

Now we have: 25 is what percent of 152.5 = 16.393442622951

Question: 25 is what percent of 152.5?

Percentage solution with steps:

Step 1: We make the assumption that 152.5 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\%}={152.5}.

Step 4: In the same vein, {x\%}={25}.

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

{100\%}={152.5}(1).

{x\%}={25}(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{152.5}{25}

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

\frac{x\%}{100\%}=\frac{25}{152.5}

\Rightarrow{x} = {16.393442622951\%}

Therefore, {25} is {16.393442622951\%} of {152.5}.