107.55 is what percent of 1792.57 - 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 1792.57 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 1792.57, so we can write it down as 100%=1792.57.
4. We know, that x% equals 107.55 of the output value, so we can write it down as x%=107.55.
5. Now we have two simple equations:
1) 100%=1792.57
2) x%=107.55
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%=1792.57/107.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.55 is what percent of 1792.57

100%/x%=1792.57/107.55
(100/x)*x=(1792.57/107.55)*x       - we multiply both sides of the equation by x
100=16.667317526732*x       - we divide both sides of the equation by (16.667317526732) to get x
100/16.667317526732=x
5.9997656995264=x
x=5.9997656995264

now we have:
107.55 is 5.9997656995264% of 1792.57