13.5 is what percent of 415000 - 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 415000 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 415000, so we can write it down as 100%=415000.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=415000
2) x%=13.5
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%=415000/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 415000

100%/x%=415000/13.5
(100/x)*x=(415000/13.5)*x       - we multiply both sides of the equation by x
100=30740.740740741*x       - we divide both sides of the equation by (30740.740740741) to get x
100/30740.740740741=x
0.0032530120481928=x
x=0.0032530120481928

now we have:
13.5 is 0.0032530120481928% of 415000