1364.72 is what percent of 852.95 - 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 852.95 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 852.95, so we can write it down as 100%=852.95.
4. We know, that x% equals 1364.72 of the output value, so we can write it down as x%=1364.72.
5. Now we have two simple equations:
1) 100%=852.95
2) x%=1364.72
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%=852.95/1364.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1364.72 is what percent of 852.95

100%/x%=852.95/1364.72
(100/x)*x=(852.95/1364.72)*x       - we multiply both sides of the equation by x
100=0.625*x       - we divide both sides of the equation by (0.625) to get x
100/0.625=x
160=x
x=160

now we have:
1364.72 is 160% of 852.95