35 is what percent of 843 - 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 843 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 843, so we can write it down as 100%=843.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=843
2) x%=35
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%=843/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 843

100%/x%=843/35
(100/x)*x=(843/35)*x       - we multiply both sides of the equation by x
100=24.085714285714*x       - we divide both sides of the equation by (24.085714285714) to get x
100/24.085714285714=x
4.1518386714116=x
x=4.1518386714116

now we have:
35 is 4.1518386714116% of 843