84.71 is what percent of 430.68 - 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 430.68 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 430.68, so we can write it down as 100%=430.68.
4. We know, that x% equals 84.71 of the output value, so we can write it down as x%=84.71.
5. Now we have two simple equations:
1) 100%=430.68
2) x%=84.71
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%=430.68/84.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.71 is what percent of 430.68

100%/x%=430.68/84.71
(100/x)*x=(430.68/84.71)*x       - we multiply both sides of the equation by x
100=5.0841695195372*x       - we divide both sides of the equation by (5.0841695195372) to get x
100/5.0841695195372=x
19.668895699824=x
x=19.668895699824

now we have:
84.71 is 19.668895699824% of 430.68