40.6 is what percent of 42.1 - 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 42.1 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 42.1, so we can write it down as 100%=42.1.
4. We know, that x% equals 40.6 of the output value, so we can write it down as x%=40.6.
5. Now we have two simple equations:
1) 100%=42.1
2) x%=40.6
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%=42.1/40.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.6 is what percent of 42.1

100%/x%=42.1/40.6
(100/x)*x=(42.1/40.6)*x       - we multiply both sides of the equation by x
100=1.0369458128079*x       - we divide both sides of the equation by (1.0369458128079) to get x
100/1.0369458128079=x
96.437054631829=x
x=96.437054631829

now we have:
40.6 is 96.437054631829% of 42.1