78.75 is what percent of 800.75 - 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 800.75 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 100% equals 800.75, so we can write it down as 100%=800.75.
4. We know, that x% equals 78.75 of the output value, so we can write it down as x%=78.75.
5. Now we have two simple equations:
1) 100%=800.75
2) x%=78.75
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:
100%/x%=800.75/78.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.75 is what percent of 800.75

100%/x%=800.75/78.75
(100/x)*x=(800.75/78.75)*x       - we multiply both sides of the equation by x
100=10.168253968254*x       - we divide both sides of the equation by (10.168253968254) to get x
100/10.168253968254=x
9.834530128005=x
x=9.834530128005

now we have:
78.75 is 9.834530128005% of 800.75