49.13 is what percent of 6.32 - 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 6.32 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 6.32, so we can write it down as 100%=6.32.
4. We know, that x% equals 49.13 of the output value, so we can write it down as x%=49.13.
5. Now we have two simple equations:
1) 100%=6.32
2) x%=49.13
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%=6.32/49.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.13 is what percent of 6.32

100%/x%=6.32/49.13
(100/x)*x=(6.32/49.13)*x       - we multiply both sides of the equation by x
100=0.12863830653369*x       - we divide both sides of the equation by (0.12863830653369) to get x
100/0.12863830653369=x
777.37341772152=x
x=777.37341772152

now we have:
49.13 is 777.37341772152% of 6.32