1023.04 is what percent of 31055.83 - 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 31055.83 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 31055.83, so we can write it down as 100%=31055.83.
4. We know, that x% equals 1023.04 of the output value, so we can write it down as x%=1023.04.
5. Now we have two simple equations:
1) 100%=31055.83
2) x%=1023.04
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%=31055.83/1023.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1023.04 is what percent of 31055.83

100%/x%=31055.83/1023.04
(100/x)*x=(31055.83/1023.04)*x       - we multiply both sides of the equation by x
100=30.356418126368*x       - we divide both sides of the equation by (30.356418126368) to get x
100/30.356418126368=x
3.2941962910024=x
x=3.2941962910024

now we have:
1023.04 is 3.2941962910024% of 31055.83