410.2 is what percent of 635.81 - 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 635.81 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 635.81, so we can write it down as 100%=635.81.
4. We know, that x% equals 410.2 of the output value, so we can write it down as x%=410.2.
5. Now we have two simple equations:
1) 100%=635.81
2) x%=410.2
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%=635.81/410.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 410.2 is what percent of 635.81

100%/x%=635.81/410.2
(100/x)*x=(635.81/410.2)*x       - we multiply both sides of the equation by x
100=1.55*x       - we divide both sides of the equation by (1.55) to get x
100/1.55=x
64.516129032258=x
x=64.516129032258

now we have:
410.2 is 64.516129032258% of 635.81