40580.98 is what percent of 47310.12 - 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 47310.12 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 47310.12, so we can write it down as 100%=47310.12.
4. We know, that x% equals 40580.98 of the output value, so we can write it down as x%=40580.98.
5. Now we have two simple equations:
1) 100%=47310.12
2) x%=40580.98
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%=47310.12/40580.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40580.98 is what percent of 47310.12

100%/x%=47310.12/40580.98
(100/x)*x=(47310.12/40580.98)*x       - we multiply both sides of the equation by x
100=1.1658200467313*x       - we divide both sides of the equation by (1.1658200467313) to get x
100/1.1658200467313=x
85.776531532788=x
x=85.776531532788

now we have:
40580.98 is 85.776531532788% of 47310.12