#### Solution for 4.59 is what percent of 5.40:

4.59:5.40*100 =

(4.59*100):5.40 =

459:5.40 = 85

Now we have: 4.59 is what percent of 5.40 = 85

Question: 4.59 is what percent of 5.40?

Percentage solution with steps:

Step 1: We make the assumption that 5.40 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\%}={5.40}.

Step 4: In the same vein, {x\%}={4.59}.

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

{100\%}={5.40}(1).

{x\%}={4.59}(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{5.40}{4.59}

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

\frac{x\%}{100\%}=\frac{4.59}{5.40}

\Rightarrow{x} = {85\%}

Therefore, {4.59} is {85\%} of {5.40}.

#### Solution for 5.40 is what percent of 4.59:

5.40:4.59*100 =

(5.40*100):4.59 =

540:4.59 = 117.64705882353

Now we have: 5.40 is what percent of 4.59 = 117.64705882353

Question: 5.40 is what percent of 4.59?

Percentage solution with steps:

Step 1: We make the assumption that 4.59 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\%}={4.59}.

Step 4: In the same vein, {x\%}={5.40}.

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

{100\%}={4.59}(1).

{x\%}={5.40}(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{4.59}{5.40}

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

\frac{x\%}{100\%}=\frac{5.40}{4.59}

\Rightarrow{x} = {117.64705882353\%}

Therefore, {5.40} is {117.64705882353\%} of {4.59}.

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