1.15 is what percent of 84.8 - 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 84.8 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 84.8, so we can write it down as 100%=84.8.
4. We know, that x% equals 1.15 of the output value, so we can write it down as x%=1.15.
5. Now we have two simple equations:
1) 100%=84.8
2) x%=1.15
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%=84.8/1.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.15 is what percent of 84.8

100%/x%=84.8/1.15
(100/x)*x=(84.8/1.15)*x       - we multiply both sides of the equation by x
100=73.739130434783*x       - we divide both sides of the equation by (73.739130434783) to get x
100/73.739130434783=x
1.3561320754717=x
x=1.3561320754717

now we have:
1.15 is 1.3561320754717% of 84.8