2.43 is what percent of 45.86 - 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 45.86 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 45.86, so we can write it down as 100%=45.86.
4. We know, that x% equals 2.43 of the output value, so we can write it down as x%=2.43.
5. Now we have two simple equations:
1) 100%=45.86
2) x%=2.43
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%=45.86/2.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.43 is what percent of 45.86

100%/x%=45.86/2.43
(100/x)*x=(45.86/2.43)*x       - we multiply both sides of the equation by x
100=18.872427983539*x       - we divide both sides of the equation by (18.872427983539) to get x
100/18.872427983539=x
5.2987352812909=x
x=5.2987352812909

now we have:
2.43 is 5.2987352812909% of 45.86