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Solution for 40.2 is what percent of 59:

40.2:59*100 =

(40.2*100):59 =

4020:59 = 68.135593220339

Now we have: 40.2 is what percent of 59 = 68.135593220339

Question: 40.2 is what percent of 59?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={59}.

Step 4: In the same vein, {x\%}={40.2}.

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

{100\%}={59}(1).

{x\%}={40.2}(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{59}{40.2}

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

\frac{x\%}{100\%}=\frac{40.2}{59}

\Rightarrow{x} = {68.135593220339\%}

Therefore, {40.2} is {68.135593220339\%} of {59}.

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• 40.2 is what percent of 20 = 201
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Solution for 59 is what percent of 40.2:

59:40.2*100 =

(59*100):40.2 =

5900:40.2 = 146.76616915423

Now we have: 59 is what percent of 40.2 = 146.76616915423

Question: 59 is what percent of 40.2?

Percentage solution with steps:

Step 1: We make the assumption that 40.2 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\%}={40.2}.

Step 4: In the same vein, {x\%}={59}.

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

{100\%}={40.2}(1).

{x\%}={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{40.2}{59}

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

\frac{x\%}{100\%}=\frac{59}{40.2}

\Rightarrow{x} = {146.76616915423\%}

Therefore, {59} is {146.76616915423\%} of {40.2}.