755.19 is what percent of 2150.18 - 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 2150.18 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 2150.18, so we can write it down as 100%=2150.18.
4. We know, that x% equals 755.19 of the output value, so we can write it down as x%=755.19.
5. Now we have two simple equations:
1) 100%=2150.18
2) x%=755.19
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%=2150.18/755.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 755.19 is what percent of 2150.18

100%/x%=2150.18/755.19
(100/x)*x=(2150.18/755.19)*x       - we multiply both sides of the equation by x
100=2.8472040148837*x       - we divide both sides of the equation by (2.8472040148837) to get x
100/2.8472040148837=x
35.122175817839=x
x=35.122175817839

now we have:
755.19 is 35.122175817839% of 2150.18