349.49 is what percent of 399.98 - 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 399.98 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 399.98, so we can write it down as 100%=399.98.
4. We know, that x% equals 349.49 of the output value, so we can write it down as x%=349.49.
5. Now we have two simple equations:
1) 100%=399.98
2) x%=349.49
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%=399.98/349.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.49 is what percent of 399.98

100%/x%=399.98/349.49
(100/x)*x=(399.98/349.49)*x       - we multiply both sides of the equation by x
100=1.1444676528656*x       - we divide both sides of the equation by (1.1444676528656) to get x
100/1.1444676528656=x
87.376868843442=x
x=87.376868843442

now we have:
349.49 is 87.376868843442% of 399.98