35.46 is what percent of 42.12 - 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 42.12 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 42.12, so we can write it down as 100%=42.12.
4. We know, that x% equals 35.46 of the output value, so we can write it down as x%=35.46.
5. Now we have two simple equations:
1) 100%=42.12
2) x%=35.46
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%=42.12/35.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.46 is what percent of 42.12

100%/x%=42.12/35.46
(100/x)*x=(42.12/35.46)*x       - we multiply both sides of the equation by x
100=1.1878172588832*x       - we divide both sides of the equation by (1.1878172588832) to get x
100/1.1878172588832=x
84.188034188034=x
x=84.188034188034

now we have:
35.46 is 84.188034188034% of 42.12