89 is what percent of 1.326 - 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 1.326 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 1.326, so we can write it down as 100%=1.326.
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%=1.326
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%=1.326/89
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 1.326

100%/x%=1.326/89
(100/x)*x=(1.326/89)*x       - we multiply both sides of the equation by x
100=0.014898876404494*x       - we divide both sides of the equation by (0.014898876404494) to get x
100/0.014898876404494=x
6711.9155354449=x
x=6711.9155354449

now we have:
89 is 6711.9155354449% of 1.326