118.02 is what percent of 949.99 - 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 949.99 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 949.99, so we can write it down as 100%=949.99.
4. We know, that x% equals 118.02 of the output value, so we can write it down as x%=118.02.
5. Now we have two simple equations:
1) 100%=949.99
2) x%=118.02
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%=949.99/118.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.02 is what percent of 949.99

100%/x%=949.99/118.02
(100/x)*x=(949.99/118.02)*x       - we multiply both sides of the equation by x
100=8.0493984070497*x       - we divide both sides of the equation by (8.0493984070497) to get x
100/8.0493984070497=x
12.423288666196=x
x=12.423288666196

now we have:
118.02 is 12.423288666196% of 949.99