29.31 is what percent of 49.32 - 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 49.32 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 49.32, so we can write it down as 100%=49.32.
4. We know, that x% equals 29.31 of the output value, so we can write it down as x%=29.31.
5. Now we have two simple equations:
1) 100%=49.32
2) x%=29.31
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%=49.32/29.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.31 is what percent of 49.32

100%/x%=49.32/29.31
(100/x)*x=(49.32/29.31)*x       - we multiply both sides of the equation by x
100=1.6827021494371*x       - we divide both sides of the equation by (1.6827021494371) to get x
100/1.6827021494371=x
59.428223844282=x
x=59.428223844282

now we have:
29.31 is 59.428223844282% of 49.32