733.6 is what percent of 1559 - 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 1559 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 1559, so we can write it down as 100%=1559.
4. We know, that x% equals 733.6 of the output value, so we can write it down as x%=733.6.
5. Now we have two simple equations:
1) 100%=1559
2) x%=733.6
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%=1559/733.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 733.6 is what percent of 1559

100%/x%=1559/733.6
(100/x)*x=(1559/733.6)*x       - we multiply both sides of the equation by x
100=2.1251363140676*x       - we divide both sides of the equation by (2.1251363140676) to get x
100/2.1251363140676=x
47.055805003207=x
x=47.055805003207

now we have:
733.6 is 47.055805003207% of 1559