61.6 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 61.6 of the output value, so we can write it down as x%=61.6.
5. Now we have two simple equations:
1) 100%=920
2) x%=61.6
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%=920/61.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.6 is what percent of 920

100%/x%=920/61.6
(100/x)*x=(920/61.6)*x       - we multiply both sides of the equation by x
100=14.935064935065*x       - we divide both sides of the equation by (14.935064935065) to get x
100/14.935064935065=x
6.695652173913=x
x=6.695652173913

now we have:
61.6 is 6.695652173913% of 920