0.01 is what percent of 86 - 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 86 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 86, so we can write it down as 100%=86.
4. We know, that x% equals 0.01 of the output value, so we can write it down as x%=0.01.
5. Now we have two simple equations:
1) 100%=86
2) x%=0.01
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%=86/0.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.01 is what percent of 86

100%/x%=86/0.01
(100/x)*x=(86/0.01)*x       - we multiply both sides of the equation by x
100=8600*x       - we divide both sides of the equation by (8600) to get x
100/8600=x
0.0116279069767=x
x=0.0116279069767

now we have:
0.01 is 0.0116279069767% of 86