86 is what percent of 492 - 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 492 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 492, so we can write it down as 100%=492.
4. We know, that x% equals 86 of the output value, so we can write it down as x%=86.
5. Now we have two simple equations:
1) 100%=492
2) x%=86
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%=492/86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86 is what percent of 492

100%/x%=492/86
(100/x)*x=(492/86)*x       - we multiply both sides of the equation by x
100=5.7209302325581*x       - we divide both sides of the equation by (5.7209302325581) to get x
100/5.7209302325581=x
17.479674796748=x
x=17.479674796748

now we have:
86 is 17.479674796748% of 492