#### Solution for 78 is what percent of 145:

78:145*100 =

(78*100):145 =

7800:145 = 53.79

Now we have: 78 is what percent of 145 = 53.79

Question: 78 is what percent of 145?

Percentage solution with steps:

Step 1: We make the assumption that 145 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\%}={145}.

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

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

{100\%}={145}(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{145}{78}

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

\frac{x\%}{100\%}=\frac{78}{145}

\Rightarrow{x} = {53.79\%}

Therefore, {78} is {53.79\%} of {145}.

#### Solution for 145 is what percent of 78:

145:78*100 =

(145*100):78 =

14500:78 = 185.9

Now we have: 145 is what percent of 78 = 185.9

Question: 145 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\%}={145}.

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

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

{x\%}={145}(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}{145}

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

\frac{x\%}{100\%}=\frac{145}{78}

\Rightarrow{x} = {185.9\%}

Therefore, {145} is {185.9\%} of {78}.

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