47049.5 is what percent of 79465.62 - 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 79465.62 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 79465.62, so we can write it down as 100%=79465.62.
4. We know, that x% equals 47049.5 of the output value, so we can write it down as x%=47049.5.
5. Now we have two simple equations:
1) 100%=79465.62
2) x%=47049.5
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%=79465.62/47049.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47049.5 is what percent of 79465.62

100%/x%=79465.62/47049.5
(100/x)*x=(79465.62/47049.5)*x       - we multiply both sides of the equation by x
100=1.6889790539751*x       - we divide both sides of the equation by (1.6889790539751) to get x
100/1.6889790539751=x
59.207365399024=x
x=59.207365399024

now we have:
47049.5 is 59.207365399024% of 79465.62