177.56 is what percent of 1040.03 - 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 1040.03 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 1040.03, so we can write it down as 100%=1040.03.
4. We know, that x% equals 177.56 of the output value, so we can write it down as x%=177.56.
5. Now we have two simple equations:
1) 100%=1040.03
2) x%=177.56
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%=1040.03/177.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.56 is what percent of 1040.03

100%/x%=1040.03/177.56
(100/x)*x=(1040.03/177.56)*x       - we multiply both sides of the equation by x
100=5.8573439963956*x       - we divide both sides of the equation by (5.8573439963956) to get x
100/5.8573439963956=x
17.072584444679=x
x=17.072584444679

now we have:
177.56 is 17.072584444679% of 1040.03