35.03 is what percent of 314.06 - 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 314.06 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 314.06, so we can write it down as 100%=314.06.
4. We know, that x% equals 35.03 of the output value, so we can write it down as x%=35.03.
5. Now we have two simple equations:
1) 100%=314.06
2) x%=35.03
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%=314.06/35.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.03 is what percent of 314.06

100%/x%=314.06/35.03
(100/x)*x=(314.06/35.03)*x       - we multiply both sides of the equation by x
100=8.965458178704*x       - we divide both sides of the equation by (8.965458178704) to get x
100/8.965458178704=x
11.153919633191=x
x=11.153919633191

now we have:
35.03 is 11.153919633191% of 314.06