35.93 is what percent of 101.23 - 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 101.23 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 101.23, so we can write it down as 100%=101.23.
4. We know, that x% equals 35.93 of the output value, so we can write it down as x%=35.93.
5. Now we have two simple equations:
1) 100%=101.23
2) x%=35.93
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%=101.23/35.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.93 is what percent of 101.23

100%/x%=101.23/35.93
(100/x)*x=(101.23/35.93)*x       - we multiply both sides of the equation by x
100=2.8174227664904*x       - we divide both sides of the equation by (2.8174227664904) to get x
100/2.8174227664904=x
35.493430801146=x
x=35.493430801146

now we have:
35.93 is 35.493430801146% of 101.23