106.78 is what percent of 217.45 - 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 217.45 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 217.45, so we can write it down as 100%=217.45.
4. We know, that x% equals 106.78 of the output value, so we can write it down as x%=106.78.
5. Now we have two simple equations:
1) 100%=217.45
2) x%=106.78
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%=217.45/106.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.78 is what percent of 217.45

100%/x%=217.45/106.78
(100/x)*x=(217.45/106.78)*x       - we multiply both sides of the equation by x
100=2.0364300430792*x       - we divide both sides of the equation by (2.0364300430792) to get x
100/2.0364300430792=x
49.105541503794=x
x=49.105541503794

now we have:
106.78 is 49.105541503794% of 217.45