What is 126.25 percent of 137 - 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 137 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 137 is 100%, so we can write it down as 137=100%.
4. We know, that x is 126.25% of the output value, so we can write it down as x=126.25%.
5. Now we have two simple equations:
1) 137=100%
2) x=126.25%
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:
137/x=100%/126.25%
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 126.25% of 137

137/x=100/126.25
(137/x)*x=(100/126.25)*x       - we multiply both sides of the equation by x
137=0.79207920792079*x       - we divide both sides of the equation by (0.79207920792079) to get x
137/0.79207920792079=x
172.9625=x
x=172.9625

now we have:
126.25% of 137=172.9625