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Solution for 315 is what percent of 400:

315:400*100 =

(315*100):400 =

31500:400 = 78.75

Now we have: 315 is what percent of 400 = 78.75

Question: 315 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\%}={315}.

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

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

{x\%}={315}(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}{315}

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

\frac{x\%}{100\%}=\frac{315}{400}

\Rightarrow{x} = {78.75\%}

Therefore, {315} is {78.75\%} of {400}.

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Solution for 400 is what percent of 315:

400:315*100 =

(400*100):315 =

40000:315 = 126.98

Now we have: 400 is what percent of 315 = 126.98

Question: 400 is what percent of 315?

Percentage solution with steps:

Step 1: We make the assumption that 315 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\%}={315}.

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

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

{100\%}={315}(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{315}{400}

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

\frac{x\%}{100\%}=\frac{400}{315}

\Rightarrow{x} = {126.98\%}

Therefore, {400} is {126.98\%} of {315}.