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Solution for 975 is what percent of 40:

975:40*100 =

(975*100):40 =

97500:40 = 2437.5

Now we have: 975 is what percent of 40 = 2437.5

Question: 975 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\%}={975}.

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

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

{x\%}={975}(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}{975}

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

\frac{x\%}{100\%}=\frac{975}{40}

\Rightarrow{x} = {2437.5\%}

Therefore, {975} is {2437.5\%} of {40}.

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Solution for 40 is what percent of 975:

40:975*100 =

(40*100):975 =

4000:975 = 4.1

Now we have: 40 is what percent of 975 = 4.1

Question: 40 is what percent of 975?

Percentage solution with steps:

Step 1: We make the assumption that 975 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\%}={975}.

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

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

{100\%}={975}(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{975}{40}

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

\frac{x\%}{100\%}=\frac{40}{975}

\Rightarrow{x} = {4.1\%}

Therefore, {40} is {4.1\%} of {975}.