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Solution for 40.00 is what percent of 51:

40.00:51*100 =

(40.00*100):51 =

4000:51 = 78.43137254902

Now we have: 40.00 is what percent of 51 = 78.43137254902

Question: 40.00 is what percent of 51?

Percentage solution with steps:

Step 1: We make the assumption that 51 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\%}={51}.

Step 4: In the same vein, {x\%}={40.00}.

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

{100\%}={51}(1).

{x\%}={40.00}(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{51}{40.00}

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

\frac{x\%}{100\%}=\frac{40.00}{51}

\Rightarrow{x} = {78.43137254902\%}

Therefore, {40.00} is {78.43137254902\%} of {51}.

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• 40.00 is what percent of 100 = 40

Solution for 51 is what percent of 40.00:

51:40.00*100 =

(51*100):40.00 =

5100:40.00 = 127.5

Now we have: 51 is what percent of 40.00 = 127.5

Question: 51 is what percent of 40.00?

Percentage solution with steps:

Step 1: We make the assumption that 40.00 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\%}={40.00}.

Step 4: In the same vein, {x\%}={51}.

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

{100\%}={40.00}(1).

{x\%}={51}(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{40.00}{51}

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

\frac{x\%}{100\%}=\frac{51}{40.00}

\Rightarrow{x} = {127.5\%}

Therefore, {51} is {127.5\%} of {40.00}.