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Solution for 22.5 is what percent of 54:

22.5:54*100 =

(22.5*100):54 =

2250:54 = 41.666666666667

Now we have: 22.5 is what percent of 54 = 41.666666666667

Question: 22.5 is what percent of 54?

Percentage solution with steps:

Step 1: We make the assumption that 54 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\%}={54}.

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

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

{100\%}={54}(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{54}{22.5}

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

\frac{x\%}{100\%}=\frac{22.5}{54}

\Rightarrow{x} = {41.666666666667\%}

Therefore, {22.5} is {41.666666666667\%} of {54}.

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Solution for 54 is what percent of 22.5:

54:22.5*100 =

(54*100):22.5 =

5400:22.5 = 240

Now we have: 54 is what percent of 22.5 = 240

Question: 54 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\%}={54}.

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

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

{x\%}={54}(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}{54}

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

\frac{x\%}{100\%}=\frac{54}{22.5}

\Rightarrow{x} = {240\%}

Therefore, {54} is {240\%} of {22.5}.