34.58 is what percent of 42.03 - 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 42.03 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 42.03, so we can write it down as 100%=42.03.
4. We know, that x% equals 34.58 of the output value, so we can write it down as x%=34.58.
5. Now we have two simple equations:
1) 100%=42.03
2) x%=34.58
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%=42.03/34.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.58 is what percent of 42.03

100%/x%=42.03/34.58
(100/x)*x=(42.03/34.58)*x       - we multiply both sides of the equation by x
100=1.2154424522846*x       - we divide both sides of the equation by (1.2154424522846) to get x
100/1.2154424522846=x
82.274565786343=x
x=82.274565786343

now we have:
34.58 is 82.274565786343% of 42.03