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Solution for 115.00 is what percent of 400.00:

115.00:400.00*100 =

(115.00*100):400.00 =

11500:400.00 = 28.75

Now we have: 115.00 is what percent of 400.00 = 28.75

Question: 115.00 is what percent of 400.00?

Percentage solution with steps:

Step 1: We make the assumption that 400.00 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\%}={400.00}.

Step 4: In the same vein, {x\%}={115.00}.

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

{100\%}={400.00}(1).

{x\%}={115.00}(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{400.00}{115.00}

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

\frac{x\%}{100\%}=\frac{115.00}{400.00}

\Rightarrow{x} = {28.75\%}

Therefore, {115.00} is {28.75\%} of {400.00}.

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• 115.00 is what percent of 100 = 115

Solution for 400.00 is what percent of 115.00:

400.00:115.00*100 =

(400.00*100):115.00 =

40000:115.00 = 347.82608695652

Now we have: 400.00 is what percent of 115.00 = 347.82608695652

Question: 400.00 is what percent of 115.00?

Percentage solution with steps:

Step 1: We make the assumption that 115.00 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\%}={115.00}.

Step 4: In the same vein, {x\%}={400.00}.

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

{100\%}={115.00}(1).

{x\%}={400.00}(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{115.00}{400.00}

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

\frac{x\%}{100\%}=\frac{400.00}{115.00}

\Rightarrow{x} = {347.82608695652\%}

Therefore, {400.00} is {347.82608695652\%} of {115.00}.