490.47 is what percent of 571.332 - 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 571.332 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 571.332, so we can write it down as 100%=571.332.
4. We know, that x% equals 490.47 of the output value, so we can write it down as x%=490.47.
5. Now we have two simple equations:
1) 100%=571.332
2) x%=490.47
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%=571.332/490.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 490.47 is what percent of 571.332

100%/x%=571.332/490.47
(100/x)*x=(571.332/490.47)*x       - we multiply both sides of the equation by x
100=1.1648663526821*x       - we divide both sides of the equation by (1.1648663526821) to get x
100/1.1648663526821=x
85.846758102119=x
x=85.846758102119

now we have:
490.47 is 85.846758102119% of 571.332