#### Solution for 315 is what percent of 426:

315:426*100 =

(315*100):426 =

31500:426 = 73.94

Now we have: 315 is what percent of 426 = 73.94

Question: 315 is what percent of 426?

Percentage solution with steps:

Step 1: We make the assumption that 426 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\%}={426}.

Step 4: In the same vein, {x\%}={315}.

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

{100\%}={426}(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{426}{315}

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

\frac{x\%}{100\%}=\frac{315}{426}

\Rightarrow{x} = {73.94\%}

Therefore, {315} is {73.94\%} of {426}.

#### Solution for 426 is what percent of 315:

426:315*100 =

(426*100):315 =

42600:315 = 135.24

Now we have: 426 is what percent of 315 = 135.24

Question: 426 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\%}={426}.

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

{100\%}={315}(1).

{x\%}={426}(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}{426}

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

\frac{x\%}{100\%}=\frac{426}{315}

\Rightarrow{x} = {135.24\%}

Therefore, {426} is {135.24\%} of {315}.

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