35 is what percent of 7948 - 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 7948 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 7948, so we can write it down as 100%=7948.
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%=7948
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%=7948/35
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 7948

100%/x%=7948/35
(100/x)*x=(7948/35)*x       - we multiply both sides of the equation by x
100=227.08571428571*x       - we divide both sides of the equation by (227.08571428571) to get x
100/227.08571428571=x
0.44036235530951=x
x=0.44036235530951

now we have:
35 is 0.44036235530951% of 7948