118.28 is what percent of 117.347 - 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 117.347 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 117.347, so we can write it down as 100%=117.347.
4. We know, that x% equals 118.28 of the output value, so we can write it down as x%=118.28.
5. Now we have two simple equations:
1) 100%=117.347
2) x%=118.28
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%=117.347/118.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.28 is what percent of 117.347

100%/x%=117.347/118.28
(100/x)*x=(117.347/118.28)*x       - we multiply both sides of the equation by x
100=0.99211193777477*x       - we divide both sides of the equation by (0.99211193777477) to get x
100/0.99211193777477=x
100.79507784605=x
x=100.79507784605

now we have:
118.28 is 100.79507784605% of 117.347