1.3 is what percent of 105.7 - 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 105.7 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 105.7, so we can write it down as 100%=105.7.
4. We know, that x% equals 1.3 of the output value, so we can write it down as x%=1.3.
5. Now we have two simple equations:
1) 100%=105.7
2) x%=1.3
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%=105.7/1.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.3 is what percent of 105.7

100%/x%=105.7/1.3
(100/x)*x=(105.7/1.3)*x       - we multiply both sides of the equation by x
100=81.307692307692*x       - we divide both sides of the equation by (81.307692307692) to get x
100/81.307692307692=x
1.2298959318827=x
x=1.2298959318827

now we have:
1.3 is 1.2298959318827% of 105.7