89 is what percent of 818 - 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 818 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 818, so we can write it down as 100%=818.
4. We know, that x% equals 89 of the output value, so we can write it down as x%=89.
5. Now we have two simple equations:
1) 100%=818
2) x%=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%=818/89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89 is what percent of 818

100%/x%=818/89
(100/x)*x=(818/89)*x       - we multiply both sides of the equation by x
100=9.1910112359551*x       - we divide both sides of the equation by (9.1910112359551) to get x
100/9.1910112359551=x
10.880195599022=x
x=10.880195599022

now we have:
89 is 10.880195599022% of 818