34.21 is what percent of 3085.96 - 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 3085.96 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 3085.96, so we can write it down as 100%=3085.96.
4. We know, that x% equals 34.21 of the output value, so we can write it down as x%=34.21.
5. Now we have two simple equations:
1) 100%=3085.96
2) x%=34.21
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%=3085.96/34.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.21 is what percent of 3085.96

100%/x%=3085.96/34.21
(100/x)*x=(3085.96/34.21)*x       - we multiply both sides of the equation by x
100=90.206372405729*x       - we divide both sides of the equation by (90.206372405729) to get x
100/90.206372405729=x
1.108569132458=x
x=1.108569132458

now we have:
34.21 is 1.108569132458% of 3085.96