What is 79 percent of 1009.5 - 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 1009.5 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 1009.5 is 100%, so we can write it down as 1009.5=100%.
4. We know, that x is 79% of the output value, so we can write it down as x=79%.
5. Now we have two simple equations:
1) 1009.5=100%
2) x=79%
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:
1009.5/x=100%/79%
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 79% of 1009.5

1009.5/x=100/79
(1009.5/x)*x=(100/79)*x       - we multiply both sides of the equation by x
1009.5=1.2658227848101*x       - we divide both sides of the equation by (1.2658227848101) to get x
1009.5/1.2658227848101=x
797.505=x
x=797.505

now we have:
79% of 1009.5=797.505