100.86 is what percent of 1626.74 - 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 1626.74 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 1626.74, so we can write it down as 100%=1626.74.
4. We know, that x% equals 100.86 of the output value, so we can write it down as x%=100.86.
5. Now we have two simple equations:
1) 100%=1626.74
2) x%=100.86
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%=1626.74/100.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.86 is what percent of 1626.74

100%/x%=1626.74/100.86
(100/x)*x=(1626.74/100.86)*x       - we multiply both sides of the equation by x
100=16.128693238152*x       - we divide both sides of the equation by (16.128693238152) to get x
100/16.128693238152=x
6.2001303219937=x
x=6.2001303219937

now we have:
100.86 is 6.2001303219937% of 1626.74