55.99 is what percent of 90.95 - 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 90.95 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 90.95, so we can write it down as 100%=90.95.
4. We know, that x% equals 55.99 of the output value, so we can write it down as x%=55.99.
5. Now we have two simple equations:
1) 100%=90.95
2) x%=55.99
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%=90.95/55.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.99 is what percent of 90.95

100%/x%=90.95/55.99
(100/x)*x=(90.95/55.99)*x       - we multiply both sides of the equation by x
100=1.6243972137882*x       - we divide both sides of the equation by (1.6243972137882) to get x
100/1.6243972137882=x
61.561297416163=x
x=61.561297416163

now we have:
55.99 is 61.561297416163% of 90.95