50.5 is what percent of 70.1 - 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 70.1 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 70.1, so we can write it down as 100%=70.1.
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%=70.1
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%=70.1/50.5
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 70.1

100%/x%=70.1/50.5
(100/x)*x=(70.1/50.5)*x       - we multiply both sides of the equation by x
100=1.3881188118812*x       - we divide both sides of the equation by (1.3881188118812) to get x
100/1.3881188118812=x
72.039942938659=x
x=72.039942938659

now we have:
50.5 is 72.039942938659% of 70.1