333.96 is what percent of 949.15 - 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 949.15 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 949.15, so we can write it down as 100%=949.15.
4. We know, that x% equals 333.96 of the output value, so we can write it down as x%=333.96.
5. Now we have two simple equations:
1) 100%=949.15
2) x%=333.96
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%=949.15/333.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 333.96 is what percent of 949.15

100%/x%=949.15/333.96
(100/x)*x=(949.15/333.96)*x       - we multiply both sides of the equation by x
100=2.8421068391424*x       - we divide both sides of the equation by (2.8421068391424) to get x
100/2.8421068391424=x
35.185165674551=x
x=35.185165674551

now we have:
333.96 is 35.185165674551% of 949.15