1364.63 is what percent of 5335 - 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 5335 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 5335, so we can write it down as 100%=5335.
4. We know, that x% equals 1364.63 of the output value, so we can write it down as x%=1364.63.
5. Now we have two simple equations:
1) 100%=5335
2) x%=1364.63
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%=5335/1364.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1364.63 is what percent of 5335

100%/x%=5335/1364.63
(100/x)*x=(5335/1364.63)*x       - we multiply both sides of the equation by x
100=3.9094846222053*x       - we divide both sides of the equation by (3.9094846222053) to get x
100/3.9094846222053=x
25.578819119025=x
x=25.578819119025

now we have:
1364.63 is 25.578819119025% of 5335