Solution for 71 is what percent of 113:

71:113*100 =

(71*100):113 =

7100:113 = 62.83

Now we have: 71 is what percent of 113 = 62.83

Question: 71 is what percent of 113?

Percentage solution with steps:

Step 1: We make the assumption that 113 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\%}={113}.

Step 4: In the same vein, {x\%}={71}.

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

{100\%}={113}(1).

{x\%}={71}(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{113}{71}

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

\frac{x\%}{100\%}=\frac{71}{113}

\Rightarrow{x} = {62.83\%}

Therefore, {71} is {62.83\%} of {113}.

Solution for 113 is what percent of 71:

113:71*100 =

(113*100):71 =

11300:71 = 159.15

Now we have: 113 is what percent of 71 = 159.15

Question: 113 is what percent of 71?

Percentage solution with steps:

Step 1: We make the assumption that 71 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\%}={71}.

Step 4: In the same vein, {x\%}={113}.

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

{100\%}={71}(1).

{x\%}={113}(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{71}{113}

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

\frac{x\%}{100\%}=\frac{113}{71}

\Rightarrow{x} = {159.15\%}

Therefore, {113} is {159.15\%} of {71}.