86.99 is what percent of 799.97 - 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 799.97 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 799.97, so we can write it down as 100%=799.97.
4. We know, that x% equals 86.99 of the output value, so we can write it down as x%=86.99.
5. Now we have two simple equations:
1) 100%=799.97
2) x%=86.99
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%=799.97/86.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.99 is what percent of 799.97

100%/x%=799.97/86.99
(100/x)*x=(799.97/86.99)*x       - we multiply both sides of the equation by x
100=9.19611449592*x       - we divide both sides of the equation by (9.19611449592) to get x
100/9.19611449592=x
10.8741577809=x
x=10.8741577809

now we have:
86.99 is 10.8741577809% of 799.97