532.44 is what percent of 629.95 - 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 629.95 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 629.95, so we can write it down as 100%=629.95.
4. We know, that x% equals 532.44 of the output value, so we can write it down as x%=532.44.
5. Now we have two simple equations:
1) 100%=629.95
2) x%=532.44
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%=629.95/532.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 532.44 is what percent of 629.95

100%/x%=629.95/532.44
(100/x)*x=(629.95/532.44)*x       - we multiply both sides of the equation by x
100=1.1831380061603*x       - we divide both sides of the equation by (1.1831380061603) to get x
100/1.1831380061603=x
84.520993729661=x
x=84.520993729661

now we have:
532.44 is 84.520993729661% of 629.95