18.13 is what percent of 1330 - 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 1330 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 1330, so we can write it down as 100%=1330.
4. We know, that x% equals 18.13 of the output value, so we can write it down as x%=18.13.
5. Now we have two simple equations:
1) 100%=1330
2) x%=18.13
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%=1330/18.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.13 is what percent of 1330

100%/x%=1330/18.13
(100/x)*x=(1330/18.13)*x       - we multiply both sides of the equation by x
100=73.359073359073*x       - we divide both sides of the equation by (73.359073359073) to get x
100/73.359073359073=x
1.3631578947368=x
x=1.3631578947368

now we have:
18.13 is 1.3631578947368% of 1330