512.15 is what percent of 799.95 - 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 799.95 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 799.95, so we can write it down as 100%=799.95.
4. We know, that x% equals 512.15 of the output value, so we can write it down as x%=512.15.
5. Now we have two simple equations:
1) 100%=799.95
2) x%=512.15
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%=799.95/512.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 512.15 is what percent of 799.95

100%/x%=799.95/512.15
(100/x)*x=(799.95/512.15)*x       - we multiply both sides of the equation by x
100=1.5619447427511*x       - we divide both sides of the equation by (1.5619447427511) to get x
100/1.5619447427511=x
64.022751421964=x
x=64.022751421964

now we have:
512.15 is 64.022751421964% of 799.95