#### Solution for 270.80 is what percent of 400:

270.80:400*100 =

(270.80*100):400 =

27080:400 = 67.7

Now we have: 270.80 is what percent of 400 = 67.7

Question: 270.80 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\%}={270.80}.

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

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

{x\%}={270.80}(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}{270.80}

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

\frac{x\%}{100\%}=\frac{270.80}{400}

\Rightarrow{x} = {67.7\%}

Therefore, {270.80} is {67.7\%} of {400}.

#### Solution for 400 is what percent of 270.80:

400:270.80*100 =

(400*100):270.80 =

40000:270.80 = 147.71048744461

Now we have: 400 is what percent of 270.80 = 147.71048744461

Question: 400 is what percent of 270.80?

Percentage solution with steps:

Step 1: We make the assumption that 270.80 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\%}={270.80}.

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

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

{100\%}={270.80}(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{270.80}{400}

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

\frac{x\%}{100\%}=\frac{400}{270.80}

\Rightarrow{x} = {147.71048744461\%}

Therefore, {400} is {147.71048744461\%} of {270.80}.

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