0.43 is what percent of 1.98 - 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 1.98 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 1.98, so we can write it down as 100%=1.98.
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%=1.98
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%=1.98/0.43
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 1.98

100%/x%=1.98/0.43
(100/x)*x=(1.98/0.43)*x       - we multiply both sides of the equation by x
100=4.6046511627907*x       - we divide both sides of the equation by (4.6046511627907) to get x
100/4.6046511627907=x
21.717171717172=x
x=21.717171717172

now we have:
0.43 is 21.717171717172% of 1.98