577.5 is what percent of 3835.06 - 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 3835.06 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 3835.06, so we can write it down as 100%=3835.06.
4. We know, that x% equals 577.5 of the output value, so we can write it down as x%=577.5.
5. Now we have two simple equations:
1) 100%=3835.06
2) x%=577.5
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%=3835.06/577.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 577.5 is what percent of 3835.06

100%/x%=3835.06/577.5
(100/x)*x=(3835.06/577.5)*x       - we multiply both sides of the equation by x
100=6.6407965367965*x       - we divide both sides of the equation by (6.6407965367965) to get x
100/6.6407965367965=x
15.058434548612=x
x=15.058434548612

now we have:
577.5 is 15.058434548612% of 3835.06