297.2 is what percent of 1941.7 - 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 1941.7 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 1941.7, so we can write it down as 100%=1941.7.
4. We know, that x% equals 297.2 of the output value, so we can write it down as x%=297.2.
5. Now we have two simple equations:
1) 100%=1941.7
2) x%=297.2
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%=1941.7/297.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 297.2 is what percent of 1941.7

100%/x%=1941.7/297.2
(100/x)*x=(1941.7/297.2)*x       - we multiply both sides of the equation by x
100=6.5333109017497*x       - we divide both sides of the equation by (6.5333109017497) to get x
100/6.5333109017497=x
15.306175001288=x
x=15.306175001288

now we have:
297.2 is 15.306175001288% of 1941.7