35.58 is what percent of 50.31 - 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 50.31 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 50.31, so we can write it down as 100%=50.31.
4. We know, that x% equals 35.58 of the output value, so we can write it down as x%=35.58.
5. Now we have two simple equations:
1) 100%=50.31
2) x%=35.58
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%=50.31/35.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.58 is what percent of 50.31

100%/x%=50.31/35.58
(100/x)*x=(50.31/35.58)*x       - we multiply both sides of the equation by x
100=1.4139966273187*x       - we divide both sides of the equation by (1.4139966273187) to get x
100/1.4139966273187=x
70.72152653548=x
x=70.72152653548

now we have:
35.58 is 70.72152653548% of 50.31