50.5 is what percent of 70.4 - 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 70.4 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 70.4, so we can write it down as 100%=70.4.
4. We know, that x% equals 50.5 of the output value, so we can write it down as x%=50.5.
5. Now we have two simple equations:
1) 100%=70.4
2) x%=50.5
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%=70.4/50.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.5 is what percent of 70.4

100%/x%=70.4/50.5
(100/x)*x=(70.4/50.5)*x       - we multiply both sides of the equation by x
100=1.3940594059406*x       - we divide both sides of the equation by (1.3940594059406) to get x
100/1.3940594059406=x
71.732954545455=x
x=71.732954545455

now we have:
50.5 is 71.732954545455% of 70.4