130.2 is what percent of 732.1 - 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 732.1 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 732.1, so we can write it down as 100%=732.1.
4. We know, that x% equals 130.2 of the output value, so we can write it down as x%=130.2.
5. Now we have two simple equations:
1) 100%=732.1
2) x%=130.2
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%=732.1/130.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.2 is what percent of 732.1

100%/x%=732.1/130.2
(100/x)*x=(732.1/130.2)*x       - we multiply both sides of the equation by x
100=5.6228878648233*x       - we divide both sides of the equation by (5.6228878648233) to get x
100/5.6228878648233=x
17.784455675454=x
x=17.784455675454

now we have:
130.2 is 17.784455675454% of 732.1