20837.86 is what percent of 35500 - 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 35500 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 35500, so we can write it down as 100%=35500.
4. We know, that x% equals 20837.86 of the output value, so we can write it down as x%=20837.86.
5. Now we have two simple equations:
1) 100%=35500
2) x%=20837.86
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%=35500/20837.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20837.86 is what percent of 35500

100%/x%=35500/20837.86
(100/x)*x=(35500/20837.86)*x       - we multiply both sides of the equation by x
100=1.7036298353094*x       - we divide both sides of the equation by (1.7036298353094) to get x
100/1.7036298353094=x
58.698197183099=x
x=58.698197183099

now we have:
20837.86 is 58.698197183099% of 35500