3.05 is what percent of 1.403 - 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 1.403 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 1.403, so we can write it down as 100%=1.403.
4. We know, that x% equals 3.05 of the output value, so we can write it down as x%=3.05.
5. Now we have two simple equations:
1) 100%=1.403
2) x%=3.05
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%=1.403/3.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.05 is what percent of 1.403

100%/x%=1.403/3.05
(100/x)*x=(1.403/3.05)*x       - we multiply both sides of the equation by x
100=0.46*x       - we divide both sides of the equation by (0.46) to get x
100/0.46=x
217.39130434783=x
x=217.39130434783

now we have:
3.05 is 217.39130434783% of 1.403