10 is what percent of 9.89 - 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 9.89 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 9.89, so we can write it down as 100%=9.89.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=9.89
2) x%=10
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%=9.89/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 9.89

100%/x%=9.89/10
(100/x)*x=(9.89/10)*x       - we multiply both sides of the equation by x
100=0.989*x       - we divide both sides of the equation by (0.989) to get x
100/0.989=x
101.11223458038=x
x=101.11223458038

now we have:
10 is 101.11223458038% of 9.89