2.45 is what percent of 15.77 - 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 15.77 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 15.77, so we can write it down as 100%=15.77.
4. We know, that x% equals 2.45 of the output value, so we can write it down as x%=2.45.
5. Now we have two simple equations:
1) 100%=15.77
2) x%=2.45
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%=15.77/2.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.45 is what percent of 15.77

100%/x%=15.77/2.45
(100/x)*x=(15.77/2.45)*x       - we multiply both sides of the equation by x
100=6.4367346938776*x       - we divide both sides of the equation by (6.4367346938776) to get x
100/6.4367346938776=x
15.535827520609=x
x=15.535827520609

now we have:
2.45 is 15.535827520609% of 15.77