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Solution for 526 is what percent of 40:

526:40*100 =

(526*100):40 =

52600:40 = 1315

Now we have: 526 is what percent of 40 = 1315

Question: 526 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={526}.

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

{100\%}={40}(1).

{x\%}={526}(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{40}{526}

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

\frac{x\%}{100\%}=\frac{526}{40}

\Rightarrow{x} = {1315\%}

Therefore, {526} is {1315\%} of {40}.

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• 526 is what percent of 100 = 526

Solution for 40 is what percent of 526:

40:526*100 =

(40*100):526 =

4000:526 = 7.6

Now we have: 40 is what percent of 526 = 7.6

Question: 40 is what percent of 526?

Percentage solution with steps:

Step 1: We make the assumption that 526 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\%}={526}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={526}(1).

{x\%}={40}(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{526}{40}

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

\frac{x\%}{100\%}=\frac{40}{526}

\Rightarrow{x} = {7.6\%}

Therefore, {40} is {7.6\%} of {526}.