471.77 is what percent of 1372.9 - 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 1372.9 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 1372.9, so we can write it down as 100%=1372.9.
4. We know, that x% equals 471.77 of the output value, so we can write it down as x%=471.77.
5. Now we have two simple equations:
1) 100%=1372.9
2) x%=471.77
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%=1372.9/471.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 471.77 is what percent of 1372.9

100%/x%=1372.9/471.77
(100/x)*x=(1372.9/471.77)*x       - we multiply both sides of the equation by x
100=2.9101045000742*x       - we divide both sides of the equation by (2.9101045000742) to get x
100/2.9101045000742=x
34.363027168767=x
x=34.363027168767

now we have:
471.77 is 34.363027168767% of 1372.9