416.07 is what percent of 3.015 - 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 3.015 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 3.015, so we can write it down as 100%=3.015.
4. We know, that x% equals 416.07 of the output value, so we can write it down as x%=416.07.
5. Now we have two simple equations:
1) 100%=3.015
2) x%=416.07
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%=3.015/416.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 416.07 is what percent of 3.015

100%/x%=3.015/416.07
(100/x)*x=(3.015/416.07)*x       - we multiply both sides of the equation by x
100=0.0072463768115942*x       - we divide both sides of the equation by (0.0072463768115942) to get x
100/0.0072463768115942=x
13800=x
x=13800

now we have:
416.07 is 13800% of 3.015