#### Solution for 89 is what percent of 78:

89:78*100 =

(89*100):78 =

8900:78 = 114.1

Now we have: 89 is what percent of 78 = 114.1

Question: 89 is what percent of 78?

Percentage solution with steps:

Step 1: We make the assumption that 78 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\%}={78}.

Step 4: In the same vein, {x\%}={89}.

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

{100\%}={78}(1).

{x\%}={89}(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{78}{89}

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

\frac{x\%}{100\%}=\frac{89}{78}

\Rightarrow{x} = {114.1\%}

Therefore, {89} is {114.1\%} of {78}.

#### Solution for 78 is what percent of 89:

78:89*100 =

(78*100):89 =

7800:89 = 87.64

Now we have: 78 is what percent of 89 = 87.64

Question: 78 is what percent of 89?

Percentage solution with steps:

Step 1: We make the assumption that 89 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\%}={89}.

Step 4: In the same vein, {x\%}={78}.

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

{100\%}={89}(1).

{x\%}={78}(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{89}{78}

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

\frac{x\%}{100\%}=\frac{78}{89}

\Rightarrow{x} = {87.64\%}

Therefore, {78} is {87.64\%} of {89}.

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