35.83 is what percent of 1220 - 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 1220 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 1220, so we can write it down as 100%=1220.
4. We know, that x% equals 35.83 of the output value, so we can write it down as x%=35.83.
5. Now we have two simple equations:
1) 100%=1220
2) x%=35.83
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%=1220/35.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.83 is what percent of 1220

100%/x%=1220/35.83
(100/x)*x=(1220/35.83)*x       - we multiply both sides of the equation by x
100=34.049679039911*x       - we divide both sides of the equation by (34.049679039911) to get x
100/34.049679039911=x
2.9368852459016=x
x=2.9368852459016

now we have:
35.83 is 2.9368852459016% of 1220