106.2 is what percent of 289 - 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 289 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 289, so we can write it down as 100%=289.
4. We know, that x% equals 106.2 of the output value, so we can write it down as x%=106.2.
5. Now we have two simple equations:
1) 100%=289
2) x%=106.2
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%=289/106.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.2 is what percent of 289

100%/x%=289/106.2
(100/x)*x=(289/106.2)*x       - we multiply both sides of the equation by x
100=2.7212806026365*x       - we divide both sides of the equation by (2.7212806026365) to get x
100/2.7212806026365=x
36.747404844291=x
x=36.747404844291

now we have:
106.2 is 36.747404844291% of 289