34.49 is what percent of 398.7 - 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 398.7 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 398.7, so we can write it down as 100%=398.7.
4. We know, that x% equals 34.49 of the output value, so we can write it down as x%=34.49.
5. Now we have two simple equations:
1) 100%=398.7
2) x%=34.49
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%=398.7/34.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.49 is what percent of 398.7

100%/x%=398.7/34.49
(100/x)*x=(398.7/34.49)*x       - we multiply both sides of the equation by x
100=11.55987242679*x       - we divide both sides of the equation by (11.55987242679) to get x
100/11.55987242679=x
8.6506144971156=x
x=8.6506144971156

now we have:
34.49 is 8.6506144971156% of 398.7