795.02 is what percent of 1437.5 - 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 1437.5 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 1437.5, so we can write it down as 100%=1437.5.
4. We know, that x% equals 795.02 of the output value, so we can write it down as x%=795.02.
5. Now we have two simple equations:
1) 100%=1437.5
2) x%=795.02
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%=1437.5/795.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 795.02 is what percent of 1437.5

100%/x%=1437.5/795.02
(100/x)*x=(1437.5/795.02)*x       - we multiply both sides of the equation by x
100=1.80813061307*x       - we divide both sides of the equation by (1.80813061307) to get x
100/1.80813061307=x
55.3057391304=x
x=55.3057391304

now we have:
795.02 is 55.3057391304% of 1437.5