255.67 is what percent of 303.19 - 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 303.19 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 303.19, so we can write it down as 100%=303.19.
4. We know, that x% equals 255.67 of the output value, so we can write it down as x%=255.67.
5. Now we have two simple equations:
1) 100%=303.19
2) x%=255.67
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%=303.19/255.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.67 is what percent of 303.19

100%/x%=303.19/255.67
(100/x)*x=(303.19/255.67)*x       - we multiply both sides of the equation by x
100=1.1858645910744*x       - we divide both sides of the equation by (1.1858645910744) to get x
100/1.1858645910744=x
84.326659850259=x
x=84.326659850259

now we have:
255.67 is 84.326659850259% of 303.19