130.27 is what percent of 1402.05 - 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 1402.05 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 1402.05, so we can write it down as 100%=1402.05.
4. We know, that x% equals 130.27 of the output value, so we can write it down as x%=130.27.
5. Now we have two simple equations:
1) 100%=1402.05
2) x%=130.27
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%=1402.05/130.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.27 is what percent of 1402.05

100%/x%=1402.05/130.27
(100/x)*x=(1402.05/130.27)*x       - we multiply both sides of the equation by x
100=10.762646810471*x       - we divide both sides of the equation by (10.762646810471) to get x
100/10.762646810471=x
9.2913947434114=x
x=9.2913947434114

now we have:
130.27 is 9.2913947434114% of 1402.05