1306.5 is what percent of 1445.5 - 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 1445.5 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 1445.5, so we can write it down as 100%=1445.5.
4. We know, that x% equals 1306.5 of the output value, so we can write it down as x%=1306.5.
5. Now we have two simple equations:
1) 100%=1445.5
2) x%=1306.5
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%=1445.5/1306.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1306.5 is what percent of 1445.5

100%/x%=1445.5/1306.5
(100/x)*x=(1445.5/1306.5)*x       - we multiply both sides of the equation by x
100=1.1063911213165*x       - we divide both sides of the equation by (1.1063911213165) to get x
100/1.1063911213165=x
90.383950190246=x
x=90.383950190246

now we have:
1306.5 is 90.383950190246% of 1445.5