513.35 is what percent of 410.68 - 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 410.68 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 410.68, so we can write it down as 100%=410.68.
4. We know, that x% equals 513.35 of the output value, so we can write it down as x%=513.35.
5. Now we have two simple equations:
1) 100%=410.68
2) x%=513.35
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%=410.68/513.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 513.35 is what percent of 410.68

100%/x%=410.68/513.35
(100/x)*x=(410.68/513.35)*x       - we multiply both sides of the equation by x
100=0.8*x       - we divide both sides of the equation by (0.8) to get x
100/0.8=x
125=x
x=125

now we have:
513.35 is 125% of 410.68