31609.42 is what percent of 37835.4 - 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 37835.4 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 37835.4, so we can write it down as 100%=37835.4.
4. We know, that x% equals 31609.42 of the output value, so we can write it down as x%=31609.42.
5. Now we have two simple equations:
1) 100%=37835.4
2) x%=31609.42
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%=37835.4/31609.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31609.42 is what percent of 37835.4

100%/x%=37835.4/31609.42
(100/x)*x=(37835.4/31609.42)*x       - we multiply both sides of the equation by x
100=1.19696596774*x       - we divide both sides of the equation by (1.19696596774) to get x
100/1.19696596774=x
83.544564085486=x
x=83.544564085486

now we have:
31609.42 is 83.544564085486% of 37835.4