10.32 is what percent of 304.42 - 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 304.42 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 304.42, so we can write it down as 100%=304.42.
4. We know, that x% equals 10.32 of the output value, so we can write it down as x%=10.32.
5. Now we have two simple equations:
1) 100%=304.42
2) x%=10.32
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%=304.42/10.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.32 is what percent of 304.42

100%/x%=304.42/10.32
(100/x)*x=(304.42/10.32)*x       - we multiply both sides of the equation by x
100=29.498062015504*x       - we divide both sides of the equation by (29.498062015504) to get x
100/29.498062015504=x
3.3900532159516=x
x=3.3900532159516

now we have:
10.32 is 3.3900532159516% of 304.42