87 is what percent of 55.519 - 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 55.519 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 55.519, so we can write it down as 100%=55.519.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=55.519
2) x%=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%=55.519/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87 is what percent of 55.519

100%/x%=55.519/87
(100/x)*x=(55.519/87)*x       - we multiply both sides of the equation by x
100=0.63814942528736*x       - we divide both sides of the equation by (0.63814942528736) to get x
100/0.63814942528736=x
156.70311064681=x
x=156.70311064681

now we have:
87 is 156.70311064681% of 55.519