130.4 is what percent of 2635.68 - 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 2635.68 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 2635.68, so we can write it down as 100%=2635.68.
4. We know, that x% equals 130.4 of the output value, so we can write it down as x%=130.4.
5. Now we have two simple equations:
1) 100%=2635.68
2) x%=130.4
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%=2635.68/130.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.4 is what percent of 2635.68

100%/x%=2635.68/130.4
(100/x)*x=(2635.68/130.4)*x       - we multiply both sides of the equation by x
100=20.21226993865*x       - we divide both sides of the equation by (20.21226993865) to get x
100/20.21226993865=x
4.9474898318461=x
x=4.9474898318461

now we have:
130.4 is 4.9474898318461% of 2635.68