90.99 is what percent of 91.99 - 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 91.99 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 91.99, so we can write it down as 100%=91.99.
4. We know, that x% equals 90.99 of the output value, so we can write it down as x%=90.99.
5. Now we have two simple equations:
1) 100%=91.99
2) x%=90.99
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%=91.99/90.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.99 is what percent of 91.99

100%/x%=91.99/90.99
(100/x)*x=(91.99/90.99)*x       - we multiply both sides of the equation by x
100=1.0109902187054*x       - we divide both sides of the equation by (1.0109902187054) to get x
100/1.0109902187054=x
98.912925317969=x
x=98.912925317969

now we have:
90.99 is 98.912925317969% of 91.99