48.98 is what percent of 790.07 - 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 790.07 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 790.07, so we can write it down as 100%=790.07.
4. We know, that x% equals 48.98 of the output value, so we can write it down as x%=48.98.
5. Now we have two simple equations:
1) 100%=790.07
2) x%=48.98
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%=790.07/48.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.98 is what percent of 790.07

100%/x%=790.07/48.98
(100/x)*x=(790.07/48.98)*x       - we multiply both sides of the equation by x
100=16.130461412822*x       - we divide both sides of the equation by (16.130461412822) to get x
100/16.130461412822=x
6.1994506815852=x
x=6.1994506815852

now we have:
48.98 is 6.1994506815852% of 790.07