105.43 is what percent of 611.55 - 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 611.55 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 611.55, so we can write it down as 100%=611.55.
4. We know, that x% equals 105.43 of the output value, so we can write it down as x%=105.43.
5. Now we have two simple equations:
1) 100%=611.55
2) x%=105.43
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%=611.55/105.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.43 is what percent of 611.55

100%/x%=611.55/105.43
(100/x)*x=(611.55/105.43)*x       - we multiply both sides of the equation by x
100=5.8005311581144*x       - we divide both sides of the equation by (5.8005311581144) to get x
100/5.8005311581144=x
17.239800506909=x
x=17.239800506909

now we have:
105.43 is 17.239800506909% of 611.55