#### Solution for 741 is what percent of 870:

741:870*100 =

(741*100):870 =

74100:870 = 85.17

Now we have: 741 is what percent of 870 = 85.17

Question: 741 is what percent of 870?

Percentage solution with steps:

Step 1: We make the assumption that 870 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\%}={870}.

Step 4: In the same vein, {x\%}={741}.

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

{100\%}={870}(1).

{x\%}={741}(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{870}{741}

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

\frac{x\%}{100\%}=\frac{741}{870}

\Rightarrow{x} = {85.17\%}

Therefore, {741} is {85.17\%} of {870}.

#### Solution for 870 is what percent of 741:

870:741*100 =

(870*100):741 =

87000:741 = 117.41

Now we have: 870 is what percent of 741 = 117.41

Question: 870 is what percent of 741?

Percentage solution with steps:

Step 1: We make the assumption that 741 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\%}={741}.

Step 4: In the same vein, {x\%}={870}.

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

{100\%}={741}(1).

{x\%}={870}(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{741}{870}

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

\frac{x\%}{100\%}=\frac{870}{741}

\Rightarrow{x} = {117.41\%}

Therefore, {870} is {117.41\%} of {741}.

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