12.55 is what percent of 783.75 - 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 783.75 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 783.75, so we can write it down as 100%=783.75.
4. We know, that x% equals 12.55 of the output value, so we can write it down as x%=12.55.
5. Now we have two simple equations:
1) 100%=783.75
2) x%=12.55
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%=783.75/12.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.55 is what percent of 783.75

100%/x%=783.75/12.55
(100/x)*x=(783.75/12.55)*x       - we multiply both sides of the equation by x
100=62.450199203187*x       - we divide both sides of the equation by (62.450199203187) to get x
100/62.450199203187=x
1.6012759170654=x
x=1.6012759170654

now we have:
12.55 is 1.6012759170654% of 783.75