6.87 is what percent of 45.47 - 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 45.47 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 45.47, so we can write it down as 100%=45.47.
4. We know, that x% equals 6.87 of the output value, so we can write it down as x%=6.87.
5. Now we have two simple equations:
1) 100%=45.47
2) x%=6.87
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%=45.47/6.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.87 is what percent of 45.47

100%/x%=45.47/6.87
(100/x)*x=(45.47/6.87)*x       - we multiply both sides of the equation by x
100=6.6186317321688*x       - we divide both sides of the equation by (6.6186317321688) to get x
100/6.6186317321688=x
15.108862986585=x
x=15.108862986585

now we have:
6.87 is 15.108862986585% of 45.47