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Solution for 40.000 is what percent of 69:

40.000:69*100 =

(40.000*100):69 =

4000:69 = 57.971014492754

Now we have: 40.000 is what percent of 69 = 57.971014492754

Question: 40.000 is what percent of 69?

Percentage solution with steps:

Step 1: We make the assumption that 69 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\%}={69}.

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

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

{100\%}={69}(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{69}{40.000}

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

\frac{x\%}{100\%}=\frac{40.000}{69}

\Rightarrow{x} = {57.971014492754\%}

Therefore, {40.000} is {57.971014492754\%} of {69}.

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Solution for 69 is what percent of 40.000:

69:40.000*100 =

(69*100):40.000 =

6900:40.000 = 172.5

Now we have: 69 is what percent of 40.000 = 172.5

Question: 69 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\%}={69}.

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

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

{x\%}={69}(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}{69}

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

\frac{x\%}{100\%}=\frac{69}{40.000}

\Rightarrow{x} = {172.5\%}

Therefore, {69} is {172.5\%} of {40.000}.