35.8 is what percent of 61 - 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 61 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 61, so we can write it down as 100%=61.
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%=61
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%=61/35.8
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 61

100%/x%=61/35.8
(100/x)*x=(61/35.8)*x       - we multiply both sides of the equation by x
100=1.7039106145251*x       - we divide both sides of the equation by (1.7039106145251) to get x
100/1.7039106145251=x
58.688524590164=x
x=58.688524590164

now we have:
35.8 is 58.688524590164% of 61