647.4 is what percent of 1088 - 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 1088 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 1088, so we can write it down as 100%=1088.
4. We know, that x% equals 647.4 of the output value, so we can write it down as x%=647.4.
5. Now we have two simple equations:
1) 100%=1088
2) x%=647.4
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%=1088/647.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 647.4 is what percent of 1088

100%/x%=1088/647.4
(100/x)*x=(1088/647.4)*x       - we multiply both sides of the equation by x
100=1.6805684275564*x       - we divide both sides of the equation by (1.6805684275564) to get x
100/1.6805684275564=x
59.503676470588=x
x=59.503676470588

now we have:
647.4 is 59.503676470588% of 1088