799.8 is what percent of 1.193 - 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 1.193 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 1.193, so we can write it down as 100%=1.193.
4. We know, that x% equals 799.8 of the output value, so we can write it down as x%=799.8.
5. Now we have two simple equations:
1) 100%=1.193
2) x%=799.8
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%=1.193/799.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 799.8 is what percent of 1.193

100%/x%=1.193/799.8
(100/x)*x=(1.193/799.8)*x       - we multiply both sides of the equation by x
100=0.0014916229057264*x       - we divide both sides of the equation by (0.0014916229057264) to get x
100/0.0014916229057264=x
67041.072925398=x
x=67041.072925398

now we have:
799.8 is 67041.072925398% of 1.193