40.7 is what percent of 49.2 - 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 49.2 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 49.2, so we can write it down as 100%=49.2.
4. We know, that x% equals 40.7 of the output value, so we can write it down as x%=40.7.
5. Now we have two simple equations:
1) 100%=49.2
2) x%=40.7
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%=49.2/40.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.7 is what percent of 49.2

100%/x%=49.2/40.7
(100/x)*x=(49.2/40.7)*x       - we multiply both sides of the equation by x
100=1.2088452088452*x       - we divide both sides of the equation by (1.2088452088452) to get x
100/1.2088452088452=x
82.723577235772=x
x=82.723577235772

now we have:
40.7 is 82.723577235772% of 49.2