51.05 is what percent of 986.38 - 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 986.38 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 986.38, so we can write it down as 100%=986.38.
4. We know, that x% equals 51.05 of the output value, so we can write it down as x%=51.05.
5. Now we have two simple equations:
1) 100%=986.38
2) x%=51.05
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%=986.38/51.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.05 is what percent of 986.38

100%/x%=986.38/51.05
(100/x)*x=(986.38/51.05)*x       - we multiply both sides of the equation by x
100=19.321841332027*x       - we divide both sides of the equation by (19.321841332027) to get x
100/19.321841332027=x
5.1754901761998=x
x=5.1754901761998

now we have:
51.05 is 5.1754901761998% of 986.38