798.7 is what percent of 923 - 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 923 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 923, so we can write it down as 100%=923.
4. We know, that x% equals 798.7 of the output value, so we can write it down as x%=798.7.
5. Now we have two simple equations:
1) 100%=923
2) x%=798.7
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%=923/798.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 798.7 is what percent of 923

100%/x%=923/798.7
(100/x)*x=(923/798.7)*x       - we multiply both sides of the equation by x
100=1.1556278953299*x       - we divide both sides of the equation by (1.1556278953299) to get x
100/1.1556278953299=x
86.533044420368=x
x=86.533044420368

now we have:
798.7 is 86.533044420368% of 923