#### Solution for 152 is what percent of 225:

152:225*100 =

(152*100):225 =

15200:225 = 67.56

Now we have: 152 is what percent of 225 = 67.56

Question: 152 is what percent of 225?

Percentage solution with steps:

Step 1: We make the assumption that 225 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\%}={225}.

Step 4: In the same vein, {x\%}={152}.

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

{100\%}={225}(1).

{x\%}={152}(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{225}{152}

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

\frac{x\%}{100\%}=\frac{152}{225}

\Rightarrow{x} = {67.56\%}

Therefore, {152} is {67.56\%} of {225}.

#### Solution for 225 is what percent of 152:

225:152*100 =

(225*100):152 =

22500:152 = 148.03

Now we have: 225 is what percent of 152 = 148.03

Question: 225 is what percent of 152?

Percentage solution with steps:

Step 1: We make the assumption that 152 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}.

Step 4: In the same vein, {x\%}={225}.

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

{100\%}={152}(1).

{x\%}={225}(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}{225}

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

\frac{x\%}{100\%}=\frac{225}{152}

\Rightarrow{x} = {148.03\%}

Therefore, {225} is {148.03\%} of {152}.

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