4.71 is what percent of 8.98 - 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 8.98 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 8.98, so we can write it down as 100%=8.98.
4. We know, that x% equals 4.71 of the output value, so we can write it down as x%=4.71.
5. Now we have two simple equations:
1) 100%=8.98
2) x%=4.71
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%=8.98/4.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.71 is what percent of 8.98

100%/x%=8.98/4.71
(100/x)*x=(8.98/4.71)*x       - we multiply both sides of the equation by x
100=1.9065817409766*x       - we divide both sides of the equation by (1.9065817409766) to get x
100/1.9065817409766=x
52.449888641425=x
x=52.449888641425

now we have:
4.71 is 52.449888641425% of 8.98