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Solution for 40.000 is what percent of 85.000:

40.000:85.000*100 =

(40.000*100):85.000 =

4000:85.000 = 47.058823529412

Now we have: 40.000 is what percent of 85.000 = 47.058823529412

Question: 40.000 is what percent of 85.000?

Percentage solution with steps:

Step 1: We make the assumption that 85.000 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\%}={85.000}.

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

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

{100\%}={85.000}(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{85.000}{40.000}

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

\frac{x\%}{100\%}=\frac{40.000}{85.000}

\Rightarrow{x} = {47.058823529412\%}

Therefore, {40.000} is {47.058823529412\%} of {85.000}.

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Solution for 85.000 is what percent of 40.000:

85.000:40.000*100 =

(85.000*100):40.000 =

8500:40.000 = 212.5

Now we have: 85.000 is what percent of 40.000 = 212.5

Question: 85.000 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\%}={85.000}.

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

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

{x\%}={85.000}(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{40.000}{85.000}

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

\frac{x\%}{100\%}=\frac{85.000}{40.000}

\Rightarrow{x} = {212.5\%}

Therefore, {85.000} is {212.5\%} of {40.000}.