What is 76.17 percent of 788.25 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 788.25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 788.25 is 100%, so we can write it down as 788.25=100%.
4. We know, that x is 76.17% of the output value, so we can write it down as x=76.17%.
5. Now we have two simple equations:
1) 788.25=100%
2) x=76.17%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
788.25/x=100%/76.17%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 76.17% of 788.25

788.25/x=100/76.17
(788.25/x)*x=(100/76.17)*x       - we multiply both sides of the equation by x
788.25=1.3128528291978*x       - we divide both sides of the equation by (1.3128528291978) to get x
788.25/1.3128528291978=x
600.410025=x
x=600.410025

now we have:
76.17% of 788.25=600.410025