#### Solution for 4.0 is what percent of 9:

4.0:9*100 =

(4.0*100):9 =

400:9 = 44.444444444444

Now we have: 4.0 is what percent of 9 = 44.444444444444

Question: 4.0 is what percent of 9?

Percentage solution with steps:

Step 1: We make the assumption that 9 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\%}={9}.

Step 4: In the same vein, {x\%}={4.0}.

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

{100\%}={9}(1).

{x\%}={4.0}(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{9}{4.0}

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

\frac{x\%}{100\%}=\frac{4.0}{9}

\Rightarrow{x} = {44.444444444444\%}

Therefore, {4.0} is {44.444444444444\%} of {9}.

#### Solution for 9 is what percent of 4.0:

9:4.0*100 =

(9*100):4.0 =

900:4.0 = 225

Now we have: 9 is what percent of 4.0 = 225

Question: 9 is what percent of 4.0?

Percentage solution with steps:

Step 1: We make the assumption that 4.0 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\%}={4.0}.

Step 4: In the same vein, {x\%}={9}.

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

{100\%}={4.0}(1).

{x\%}={9}(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{4.0}{9}

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

\frac{x\%}{100\%}=\frac{9}{4.0}

\Rightarrow{x} = {225\%}

Therefore, {9} is {225\%} of {4.0}.

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