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Solution for 40.000 is what percent of 60:

40.000:60*100 =

(40.000*100):60 =

4000:60 = 66.666666666667

Now we have: 40.000 is what percent of 60 = 66.666666666667

Question: 40.000 is what percent of 60?

Percentage solution with steps:

Step 1: We make the assumption that 60 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\%}={60}.

Step 4: In the same vein, {x\%}={40.000}.

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

{100\%}={60}(1).

{x\%}={40.000}(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{60}{40.000}

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

\frac{x\%}{100\%}=\frac{40.000}{60}

\Rightarrow{x} = {66.666666666667\%}

Therefore, {40.000} is {66.666666666667\%} of {60}.

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• 40.000 is what percent of 100 = 40

Solution for 60 is what percent of 40.000:

60:40.000*100 =

(60*100):40.000 =

6000:40.000 = 150

Now we have: 60 is what percent of 40.000 = 150

Question: 60 is what percent of 40.000?

Percentage solution with steps:

Step 1: We make the assumption that 40.000 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\%}={40.000}.

Step 4: In the same vein, {x\%}={60}.

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

{100\%}={40.000}(1).

{x\%}={60}(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{40.000}{60}

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

\frac{x\%}{100\%}=\frac{60}{40.000}

\Rightarrow{x} = {150\%}

Therefore, {60} is {150\%} of {40.000}.