105.01 is what percent of 1236 - 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 1236 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 1236, so we can write it down as 100%=1236.
4. We know, that x% equals 105.01 of the output value, so we can write it down as x%=105.01.
5. Now we have two simple equations:
1) 100%=1236
2) x%=105.01
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%=1236/105.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.01 is what percent of 1236

100%/x%=1236/105.01
(100/x)*x=(1236/105.01)*x       - we multiply both sides of the equation by x
100=11.770307589753*x       - we divide both sides of the equation by (11.770307589753) to get x
100/11.770307589753=x
8.4959546925566=x
x=8.4959546925566

now we have:
105.01 is 8.4959546925566% of 1236