888.4 is what percent of 1807.73 - 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 1807.73 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 1807.73, so we can write it down as 100%=1807.73.
4. We know, that x% equals 888.4 of the output value, so we can write it down as x%=888.4.
5. Now we have two simple equations:
1) 100%=1807.73
2) x%=888.4
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%=1807.73/888.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 888.4 is what percent of 1807.73

100%/x%=1807.73/888.4
(100/x)*x=(1807.73/888.4)*x       - we multiply both sides of the equation by x
100=2.0348153984692*x       - we divide both sides of the equation by (2.0348153984692) to get x
100/2.0348153984692=x
49.144507199637=x
x=49.144507199637

now we have:
888.4 is 49.144507199637% of 1807.73