541.99 is what percent of 849.99 - 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 849.99 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 849.99, so we can write it down as 100%=849.99.
4. We know, that x% equals 541.99 of the output value, so we can write it down as x%=541.99.
5. Now we have two simple equations:
1) 100%=849.99
2) x%=541.99
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%=849.99/541.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 541.99 is what percent of 849.99

100%/x%=849.99/541.99
(100/x)*x=(849.99/541.99)*x       - we multiply both sides of the equation by x
100=1.568276167457*x       - we divide both sides of the equation by (1.568276167457) to get x
100/1.568276167457=x
63.76427957976=x
x=63.76427957976

now we have:
541.99 is 63.76427957976% of 849.99