64.19 is what percent of 402.2 - 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 402.2 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 402.2, so we can write it down as 100%=402.2.
4. We know, that x% equals 64.19 of the output value, so we can write it down as x%=64.19.
5. Now we have two simple equations:
1) 100%=402.2
2) x%=64.19
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%=402.2/64.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.19 is what percent of 402.2

100%/x%=402.2/64.19
(100/x)*x=(402.2/64.19)*x       - we multiply both sides of the equation by x
100=6.2657734849665*x       - we divide both sides of the equation by (6.2657734849665) to get x
100/6.2657734849665=x
15.959721531576=x
x=15.959721531576

now we have:
64.19 is 15.959721531576% of 402.2