35849.42 is what percent of 45800 - 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 45800 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 45800, so we can write it down as 100%=45800.
4. We know, that x% equals 35849.42 of the output value, so we can write it down as x%=35849.42.
5. Now we have two simple equations:
1) 100%=45800
2) x%=35849.42
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%=45800/35849.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35849.42 is what percent of 45800

100%/x%=45800/35849.42
(100/x)*x=(45800/35849.42)*x       - we multiply both sides of the equation by x
100=1.2775659968836*x       - we divide both sides of the equation by (1.2775659968836) to get x
100/1.2775659968836=x
78.27384279476=x
x=78.27384279476

now we have:
35849.42 is 78.27384279476% of 45800