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Solution for 8.5 is what percent of 22.5:

8.5:22.5*100 =

(8.5*100):22.5 =

850:22.5 = 37.777777777778

Now we have: 8.5 is what percent of 22.5 = 37.777777777778

Question: 8.5 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\%}={8.5}.

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

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

{x\%}={8.5}(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}{8.5}

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

\frac{x\%}{100\%}=\frac{8.5}{22.5}

\Rightarrow{x} = {37.777777777778\%}

Therefore, {8.5} is {37.777777777778\%} of {22.5}.

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• 8.5 is what percent of 100 = 8.5

Solution for 22.5 is what percent of 8.5:

22.5:8.5*100 =

(22.5*100):8.5 =

2250:8.5 = 264.70588235294

Now we have: 22.5 is what percent of 8.5 = 264.70588235294

Question: 22.5 is what percent of 8.5?

Percentage solution with steps:

Step 1: We make the assumption that 8.5 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\%}={8.5}.

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

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

{100\%}={8.5}(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{8.5}{22.5}

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

\frac{x\%}{100\%}=\frac{22.5}{8.5}

\Rightarrow{x} = {264.70588235294\%}

Therefore, {22.5} is {264.70588235294\%} of {8.5}.