870.6 is what percent of 4500 - 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 4500 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 4500, so we can write it down as 100%=4500.
4. We know, that x% equals 870.6 of the output value, so we can write it down as x%=870.6.
5. Now we have two simple equations:
1) 100%=4500
2) x%=870.6
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%=4500/870.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 870.6 is what percent of 4500

100%/x%=4500/870.6
(100/x)*x=(4500/870.6)*x       - we multiply both sides of the equation by x
100=5.1688490696072*x       - we divide both sides of the equation by (5.1688490696072) to get x
100/5.1688490696072=x
19.346666666667=x
x=19.346666666667

now we have:
870.6 is 19.346666666667% of 4500