107.07 is what percent of 2052.93 - 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 2052.93 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 2052.93, so we can write it down as 100%=2052.93.
4. We know, that x% equals 107.07 of the output value, so we can write it down as x%=107.07.
5. Now we have two simple equations:
1) 100%=2052.93
2) x%=107.07
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%=2052.93/107.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.07 is what percent of 2052.93

100%/x%=2052.93/107.07
(100/x)*x=(2052.93/107.07)*x       - we multiply both sides of the equation by x
100=19.173718128327*x       - we divide both sides of the equation by (19.173718128327) to get x
100/19.173718128327=x
5.2154725197644=x
x=5.2154725197644

now we have:
107.07 is 5.2154725197644% of 2052.93