73.1 is what percent of 786.8 - 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 786.8 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 786.8, so we can write it down as 100%=786.8.
4. We know, that x% equals 73.1 of the output value, so we can write it down as x%=73.1.
5. Now we have two simple equations:
1) 100%=786.8
2) x%=73.1
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%=786.8/73.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.1 is what percent of 786.8

100%/x%=786.8/73.1
(100/x)*x=(786.8/73.1)*x       - we multiply both sides of the equation by x
100=10.763337893297*x       - we divide both sides of the equation by (10.763337893297) to get x
100/10.763337893297=x
9.2907981698017=x
x=9.2907981698017

now we have:
73.1 is 9.2907981698017% of 786.8