45.99 is what percent of 75.99 - 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 75.99 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 75.99, so we can write it down as 100%=75.99.
4. We know, that x% equals 45.99 of the output value, so we can write it down as x%=45.99.
5. Now we have two simple equations:
1) 100%=75.99
2) x%=45.99
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%=75.99/45.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.99 is what percent of 75.99

100%/x%=75.99/45.99
(100/x)*x=(75.99/45.99)*x       - we multiply both sides of the equation by x
100=1.6523157208089*x       - we divide both sides of the equation by (1.6523157208089) to get x
100/1.6523157208089=x
60.521121200158=x
x=60.521121200158

now we have:
45.99 is 60.521121200158% of 75.99