94.6 is what percent of 297.8 - 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 297.8 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 297.8, so we can write it down as 100%=297.8.
4. We know, that x% equals 94.6 of the output value, so we can write it down as x%=94.6.
5. Now we have two simple equations:
1) 100%=297.8
2) x%=94.6
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%=297.8/94.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.6 is what percent of 297.8

100%/x%=297.8/94.6
(100/x)*x=(297.8/94.6)*x       - we multiply both sides of the equation by x
100=3.1479915433404*x       - we divide both sides of the equation by (3.1479915433404) to get x
100/3.1479915433404=x
31.766286098052=x
x=31.766286098052

now we have:
94.6 is 31.766286098052% of 297.8