5.71 is what percent of 456 - 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 456 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 456, so we can write it down as 100%=456.
4. We know, that x% equals 5.71 of the output value, so we can write it down as x%=5.71.
5. Now we have two simple equations:
1) 100%=456
2) x%=5.71
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%=456/5.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.71 is what percent of 456

100%/x%=456/5.71
(100/x)*x=(456/5.71)*x       - we multiply both sides of the equation by x
100=79.859894921191*x       - we divide both sides of the equation by (79.859894921191) to get x
100/79.859894921191=x
1.2521929824561=x
x=1.2521929824561

now we have:
5.71 is 1.2521929824561% of 456