78.26 is what percent of 800 - 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 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, so we can write it down as 100%=800.
4. We know, that x% equals 78.26 of the output value, so we can write it down as x%=78.26.
5. Now we have two simple equations:
1) 100%=800
2) x%=78.26
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%=800/78.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.26 is what percent of 800

100%/x%=800/78.26
(100/x)*x=(800/78.26)*x       - we multiply both sides of the equation by x
100=10.222335803731*x       - we divide both sides of the equation by (10.222335803731) to get x
100/10.222335803731=x
9.7825=x
x=9.7825

now we have:
78.26 is 9.7825% of 800