355.8 is what percent of 2070 - 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 2070 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 2070, so we can write it down as 100%=2070.
4. We know, that x% equals 355.8 of the output value, so we can write it down as x%=355.8.
5. Now we have two simple equations:
1) 100%=2070
2) x%=355.8
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%=2070/355.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.8 is what percent of 2070

100%/x%=2070/355.8
(100/x)*x=(2070/355.8)*x       - we multiply both sides of the equation by x
100=5.8178752107926*x       - we divide both sides of the equation by (5.8178752107926) to get x
100/5.8178752107926=x
17.188405797101=x
x=17.188405797101

now we have:
355.8 is 17.188405797101% of 2070