0.95 is what percent of 0.89 - 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 0.89 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 0.89, so we can write it down as 100%=0.89.
4. We know, that x% equals 0.95 of the output value, so we can write it down as x%=0.95.
5. Now we have two simple equations:
1) 100%=0.89
2) x%=0.95
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%=0.89/0.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.95 is what percent of 0.89

100%/x%=0.89/0.95
(100/x)*x=(0.89/0.95)*x       - we multiply both sides of the equation by x
100=0.93684210526316*x       - we divide both sides of the equation by (0.93684210526316) to get x
100/0.93684210526316=x
106.74157303371=x
x=106.74157303371

now we have:
0.95 is 106.74157303371% of 0.89