0.89 is what percent of 0.99 - 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 0.99 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 0.99, so we can write it down as 100%=0.99.
4. We know, that x% equals 0.89 of the output value, so we can write it down as x%=0.89.
5. Now we have two simple equations:
1) 100%=0.99
2) x%=0.89
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%=0.99/0.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.89 is what percent of 0.99

100%/x%=0.99/0.89
(100/x)*x=(0.99/0.89)*x       - we multiply both sides of the equation by x
100=1.1123595505618*x       - we divide both sides of the equation by (1.1123595505618) to get x
100/1.1123595505618=x
89.89898989899=x
x=89.89898989899

now we have:
0.89 is 89.89898989899% of 0.99