10.89 is what percent of 129.98 - 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 129.98 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 129.98, so we can write it down as 100%=129.98.
4. We know, that x% equals 10.89 of the output value, so we can write it down as x%=10.89.
5. Now we have two simple equations:
1) 100%=129.98
2) x%=10.89
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%=129.98/10.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.89 is what percent of 129.98

100%/x%=129.98/10.89
(100/x)*x=(129.98/10.89)*x       - we multiply both sides of the equation by x
100=11.935720844812*x       - we divide both sides of the equation by (11.935720844812) to get x
100/11.935720844812=x
8.3782120326204=x
x=8.3782120326204

now we have:
10.89 is 8.3782120326204% of 129.98