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Solution for 22.5 is what percent of 67.5:

22.5:67.5*100 =

(22.5*100):67.5 =

2250:67.5 = 33.333333333333

Now we have: 22.5 is what percent of 67.5 = 33.333333333333

Question: 22.5 is what percent of 67.5?

Percentage solution with steps:

Step 1: We make the assumption that 67.5 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\%}={67.5}.

Step 4: In the same vein, {x\%}={22.5}.

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

{100\%}={67.5}(1).

{x\%}={22.5}(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{67.5}{22.5}

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

\frac{x\%}{100\%}=\frac{22.5}{67.5}

\Rightarrow{x} = {33.333333333333\%}

Therefore, {22.5} is {33.333333333333\%} of {67.5}.

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Solution for 67.5 is what percent of 22.5:

67.5:22.5*100 =

(67.5*100):22.5 =

6750:22.5 = 300

Now we have: 67.5 is what percent of 22.5 = 300

Question: 67.5 is what percent of 22.5?

Percentage solution with steps:

Step 1: We make the assumption that 22.5 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\%}={22.5}.

Step 4: In the same vein, {x\%}={67.5}.

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

{100\%}={22.5}(1).

{x\%}={67.5}(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{22.5}{67.5}

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

\frac{x\%}{100\%}=\frac{67.5}{22.5}

\Rightarrow{x} = {300\%}

Therefore, {67.5} is {300\%} of {22.5}.