105.02 is what percent of 1555.5 - 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 1555.5 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 1555.5, so we can write it down as 100%=1555.5.
4. We know, that x% equals 105.02 of the output value, so we can write it down as x%=105.02.
5. Now we have two simple equations:
1) 100%=1555.5
2) x%=105.02
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%=1555.5/105.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.02 is what percent of 1555.5

100%/x%=1555.5/105.02
(100/x)*x=(1555.5/105.02)*x       - we multiply both sides of the equation by x
100=14.811464482956*x       - we divide both sides of the equation by (14.811464482956) to get x
100/14.811464482956=x
6.7515268402443=x
x=6.7515268402443

now we have:
105.02 is 6.7515268402443% of 1555.5