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Solution for 225.00 is what percent of 40:

225.00:40*100 =

(225.00*100):40 =

22500:40 = 562.5

Now we have: 225.00 is what percent of 40 = 562.5

Question: 225.00 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={225.00}.

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

{100\%}={40}(1).

{x\%}={225.00}(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{40}{225.00}

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

\frac{x\%}{100\%}=\frac{225.00}{40}

\Rightarrow{x} = {562.5\%}

Therefore, {225.00} is {562.5\%} of {40}.

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Solution for 40 is what percent of 225.00:

40:225.00*100 =

(40*100):225.00 =

4000:225.00 = 17.777777777778

Now we have: 40 is what percent of 225.00 = 17.777777777778

Question: 40 is what percent of 225.00?

Percentage solution with steps:

Step 1: We make the assumption that 225.00 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\%}={225.00}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={225.00}(1).

{x\%}={40}(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{225.00}{40}

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

\frac{x\%}{100\%}=\frac{40}{225.00}

\Rightarrow{x} = {17.777777777778\%}

Therefore, {40} is {17.777777777778\%} of {225.00}.