2.35 is what percent of 35.46 - 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 35.46 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 35.46, so we can write it down as 100%=35.46.
4. We know, that x% equals 2.35 of the output value, so we can write it down as x%=2.35.
5. Now we have two simple equations:
1) 100%=35.46
2) x%=2.35
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%=35.46/2.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.35 is what percent of 35.46

100%/x%=35.46/2.35
(100/x)*x=(35.46/2.35)*x       - we multiply both sides of the equation by x
100=15.089361702128*x       - we divide both sides of the equation by (15.089361702128) to get x
100/15.089361702128=x
6.6271855611957=x
x=6.6271855611957

now we have:
2.35 is 6.6271855611957% of 35.46