49.97 is what percent of 688.86 - 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 688.86 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 688.86, so we can write it down as 100%=688.86.
4. We know, that x% equals 49.97 of the output value, so we can write it down as x%=49.97.
5. Now we have two simple equations:
1) 100%=688.86
2) x%=49.97
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%=688.86/49.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.97 is what percent of 688.86

100%/x%=688.86/49.97
(100/x)*x=(688.86/49.97)*x       - we multiply both sides of the equation by x
100=13.78547128277*x       - we divide both sides of the equation by (13.78547128277) to get x
100/13.78547128277=x
7.2540138780013=x
x=7.2540138780013

now we have:
49.97 is 7.2540138780013% of 688.86