678.68 is what percent of 1202.1 - 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 1202.1 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 1202.1, so we can write it down as 100%=1202.1.
4. We know, that x% equals 678.68 of the output value, so we can write it down as x%=678.68.
5. Now we have two simple equations:
1) 100%=1202.1
2) x%=678.68
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%=1202.1/678.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 678.68 is what percent of 1202.1

100%/x%=1202.1/678.68
(100/x)*x=(1202.1/678.68)*x       - we multiply both sides of the equation by x
100=1.7712323922909*x       - we divide both sides of the equation by (1.7712323922909) to get x
100/1.7712323922909=x
56.457865402213=x
x=56.457865402213

now we have:
678.68 is 56.457865402213% of 1202.1