35 is what percent of 293.82 - 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 293.82 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 293.82, so we can write it down as 100%=293.82.
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%=293.82
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%=293.82/35
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 293.82

100%/x%=293.82/35
(100/x)*x=(293.82/35)*x       - we multiply both sides of the equation by x
100=8.3948571428571*x       - we divide both sides of the equation by (8.3948571428571) to get x
100/8.3948571428571=x
11.91205499966=x
x=11.91205499966

now we have:
35 is 11.91205499966% of 293.82