3776.54 is what percent of 5372 - 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 5372 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 5372, so we can write it down as 100%=5372.
4. We know, that x% equals 3776.54 of the output value, so we can write it down as x%=3776.54.
5. Now we have two simple equations:
1) 100%=5372
2) x%=3776.54
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%=5372/3776.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3776.54 is what percent of 5372

100%/x%=5372/3776.54
(100/x)*x=(5372/3776.54)*x       - we multiply both sides of the equation by x
100=1.4224660668231*x       - we divide both sides of the equation by (1.4224660668231) to get x
100/1.4224660668231=x
70.300446760983=x
x=70.300446760983

now we have:
3776.54 is 70.300446760983% of 5372