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Solution for 5.000 is what percent of 8.000:

5.000:8.000*100 =

(5.000*100):8.000 =

500:8.000 = 62.5

Now we have: 5.000 is what percent of 8.000 = 62.5

Question: 5.000 is what percent of 8.000?

Percentage solution with steps:

Step 1: We make the assumption that 8.000 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\%}={8.000}.

Step 4: In the same vein, {x\%}={5.000}.

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

{100\%}={8.000}(1).

{x\%}={5.000}(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{8.000}{5.000}

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

\frac{x\%}{100\%}=\frac{5.000}{8.000}

\Rightarrow{x} = {62.5\%}

Therefore, {5.000} is {62.5\%} of {8.000}.

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Solution for 8.000 is what percent of 5.000:

8.000:5.000*100 =

(8.000*100):5.000 =

800:5.000 = 160

Now we have: 8.000 is what percent of 5.000 = 160

Question: 8.000 is what percent of 5.000?

Percentage solution with steps:

Step 1: We make the assumption that 5.000 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\%}={5.000}.

Step 4: In the same vein, {x\%}={8.000}.

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

{100\%}={5.000}(1).

{x\%}={8.000}(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{5.000}{8.000}

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

\frac{x\%}{100\%}=\frac{8.000}{5.000}

\Rightarrow{x} = {160\%}

Therefore, {8.000} is {160\%} of {5.000}.