0.43 is what percent of 84.28 - 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 84.28 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 84.28, so we can write it down as 100%=84.28.
4. We know, that x% equals 0.43 of the output value, so we can write it down as x%=0.43.
5. Now we have two simple equations:
1) 100%=84.28
2) x%=0.43
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%=84.28/0.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.43 is what percent of 84.28

100%/x%=84.28/0.43
(100/x)*x=(84.28/0.43)*x       - we multiply both sides of the equation by x
100=196*x       - we divide both sides of the equation by (196) to get x
100/196=x
0.51020408163265=x
x=0.51020408163265

now we have:
0.43 is 0.51020408163265% of 84.28