159.3 is what percent of 309.3 - 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 309.3 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 309.3, so we can write it down as 100%=309.3.
4. We know, that x% equals 159.3 of the output value, so we can write it down as x%=159.3.
5. Now we have two simple equations:
1) 100%=309.3
2) x%=159.3
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%=309.3/159.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.3 is what percent of 309.3

100%/x%=309.3/159.3
(100/x)*x=(309.3/159.3)*x       - we multiply both sides of the equation by x
100=1.9416195856874*x       - we divide both sides of the equation by (1.9416195856874) to get x
100/1.9416195856874=x
51.503394762367=x
x=51.503394762367

now we have:
159.3 is 51.503394762367% of 309.3