#### Solution for 68.5 is what percent of 400:

68.5:400*100 =

(68.5*100):400 =

6850:400 = 17.125

Now we have: 68.5 is what percent of 400 = 17.125

Question: 68.5 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

Step 4: In the same vein, {x\%}={68.5}.

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

{100\%}={400}(1).

{x\%}={68.5}(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{400}{68.5}

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

\frac{x\%}{100\%}=\frac{68.5}{400}

\Rightarrow{x} = {17.125\%}

Therefore, {68.5} is {17.125\%} of {400}.

#### Solution for 400 is what percent of 68.5:

400:68.5*100 =

(400*100):68.5 =

40000:68.5 = 583.94160583942

Now we have: 400 is what percent of 68.5 = 583.94160583942

Question: 400 is what percent of 68.5?

Percentage solution with steps:

Step 1: We make the assumption that 68.5 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\%}={68.5}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={68.5}(1).

{x\%}={400}(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{68.5}{400}

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

\frac{x\%}{100\%}=\frac{400}{68.5}

\Rightarrow{x} = {583.94160583942\%}

Therefore, {400} is {583.94160583942\%} of {68.5}.

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