What is 126 percent of 113 - 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 113 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 113 is 100%, so we can write it down as 113=100%.
4. We know, that x is 126% of the output value, so we can write it down as x=126%.
5. Now we have two simple equations:
1) 113=100%
2) x=126%
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:
113/x=100%/126%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 126% of 113

113/x=100/126
(113/x)*x=(100/126)*x       - we multiply both sides of the equation by x
113=0.79365079365079*x       - we divide both sides of the equation by (0.79365079365079) to get x
113/0.79365079365079=x
142.38=x
x=142.38

now we have:
126% of 113=142.38