1.21 is what percent of 42.57 - 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 42.57 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 42.57, so we can write it down as 100%=42.57.
4. We know, that x% equals 1.21 of the output value, so we can write it down as x%=1.21.
5. Now we have two simple equations:
1) 100%=42.57
2) x%=1.21
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%=42.57/1.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.21 is what percent of 42.57

100%/x%=42.57/1.21
(100/x)*x=(42.57/1.21)*x       - we multiply both sides of the equation by x
100=35.181818181818*x       - we divide both sides of the equation by (35.181818181818) to get x
100/35.181818181818=x
2.8423772609819=x
x=2.8423772609819

now we have:
1.21 is 2.8423772609819% of 42.57