42.19 is what percent of 892 - 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 892 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 892, so we can write it down as 100%=892.
4. We know, that x% equals 42.19 of the output value, so we can write it down as x%=42.19.
5. Now we have two simple equations:
1) 100%=892
2) x%=42.19
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%=892/42.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.19 is what percent of 892

100%/x%=892/42.19
(100/x)*x=(892/42.19)*x       - we multiply both sides of the equation by x
100=21.142450817729*x       - we divide both sides of the equation by (21.142450817729) to get x
100/21.142450817729=x
4.7298206278027=x
x=4.7298206278027

now we have:
42.19 is 4.7298206278027% of 892