802.3 is what percent of 810 - 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 810 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 810, so we can write it down as 100%=810.
4. We know, that x% equals 802.3 of the output value, so we can write it down as x%=802.3.
5. Now we have two simple equations:
1) 100%=810
2) x%=802.3
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%=810/802.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 802.3 is what percent of 810

100%/x%=810/802.3
(100/x)*x=(810/802.3)*x       - we multiply both sides of the equation by x
100=1.0095974074536*x       - we divide both sides of the equation by (1.0095974074536) to get x
100/1.0095974074536=x
99.049382716049=x
x=99.049382716049

now we have:
802.3 is 99.049382716049% of 810