0.89 is what percent of 8.45 - 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 8.45 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 8.45, so we can write it down as 100%=8.45.
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%=8.45
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%=8.45/0.89
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 8.45

100%/x%=8.45/0.89
(100/x)*x=(8.45/0.89)*x       - we multiply both sides of the equation by x
100=9.4943820224719*x       - we divide both sides of the equation by (9.4943820224719) to get x
100/9.4943820224719=x
10.532544378698=x
x=10.532544378698

now we have:
0.89 is 10.532544378698% of 8.45