399.8 is what percent of 565 - 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 565 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 565, so we can write it down as 100%=565.
4. We know, that x% equals 399.8 of the output value, so we can write it down as x%=399.8.
5. Now we have two simple equations:
1) 100%=565
2) x%=399.8
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%=565/399.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.8 is what percent of 565

100%/x%=565/399.8
(100/x)*x=(565/399.8)*x       - we multiply both sides of the equation by x
100=1.4132066033017*x       - we divide both sides of the equation by (1.4132066033017) to get x
100/1.4132066033017=x
70.761061946903=x
x=70.761061946903

now we have:
399.8 is 70.761061946903% of 565