307.72 is what percent of 1756.28 - 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 1756.28 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 1756.28, so we can write it down as 100%=1756.28.
4. We know, that x% equals 307.72 of the output value, so we can write it down as x%=307.72.
5. Now we have two simple equations:
1) 100%=1756.28
2) x%=307.72
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%=1756.28/307.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 307.72 is what percent of 1756.28

100%/x%=1756.28/307.72
(100/x)*x=(1756.28/307.72)*x       - we multiply both sides of the equation by x
100=5.7073963343299*x       - we divide both sides of the equation by (5.7073963343299) to get x
100/5.7073963343299=x
17.52112419432=x
x=17.52112419432

now we have:
307.72 is 17.52112419432% of 1756.28