65.3 is what percent of 920 - 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 920 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 920, so we can write it down as 100%=920.
4. We know, that x% equals 65.3 of the output value, so we can write it down as x%=65.3.
5. Now we have two simple equations:
1) 100%=920
2) x%=65.3
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%=920/65.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.3 is what percent of 920

100%/x%=920/65.3
(100/x)*x=(920/65.3)*x       - we multiply both sides of the equation by x
100=14.088820826953*x       - we divide both sides of the equation by (14.088820826953) to get x
100/14.088820826953=x
7.0978260869565=x
x=7.0978260869565

now we have:
65.3 is 7.0978260869565% of 920