796.22 is what percent of 815.671 - 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 815.671 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 815.671, so we can write it down as 100%=815.671.
4. We know, that x% equals 796.22 of the output value, so we can write it down as x%=796.22.
5. Now we have two simple equations:
1) 100%=815.671
2) x%=796.22
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%=815.671/796.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 796.22 is what percent of 815.671

100%/x%=815.671/796.22
(100/x)*x=(815.671/796.22)*x       - we multiply both sides of the equation by x
100=1.0244291778654*x       - we divide both sides of the equation by (1.0244291778654) to get x
100/1.0244291778654=x
97.615337556441=x
x=97.615337556441

now we have:
796.22 is 97.615337556441% of 815.671