334.5 is what percent of 969.9 - 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 969.9 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 969.9, so we can write it down as 100%=969.9.
4. We know, that x% equals 334.5 of the output value, so we can write it down as x%=334.5.
5. Now we have two simple equations:
1) 100%=969.9
2) x%=334.5
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%=969.9/334.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 334.5 is what percent of 969.9

100%/x%=969.9/334.5
(100/x)*x=(969.9/334.5)*x       - we multiply both sides of the equation by x
100=2.8995515695067*x       - we divide both sides of the equation by (2.8995515695067) to get x
100/2.8995515695067=x
34.488091555831=x
x=34.488091555831

now we have:
334.5 is 34.488091555831% of 969.9