35.8 is what percent of 53.9 - 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 53.9 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 53.9, so we can write it down as 100%=53.9.
4. We know, that x% equals 35.8 of the output value, so we can write it down as x%=35.8.
5. Now we have two simple equations:
1) 100%=53.9
2) x%=35.8
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%=53.9/35.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.8 is what percent of 53.9

100%/x%=53.9/35.8
(100/x)*x=(53.9/35.8)*x       - we multiply both sides of the equation by x
100=1.5055865921788*x       - we divide both sides of the equation by (1.5055865921788) to get x
100/1.5055865921788=x
66.419294990724=x
x=66.419294990724

now we have:
35.8 is 66.419294990724% of 53.9