What is 137.7 percent of 900 - 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 900 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 900 is 100%, so we can write it down as 900=100%.
4. We know, that x is 137.7% of the output value, so we can write it down as x=137.7%.
5. Now we have two simple equations:
1) 900=100%
2) x=137.7%
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:
900/x=100%/137.7%
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 137.7% of 900

900/x=100/137.7
(900/x)*x=(100/137.7)*x       - we multiply both sides of the equation by x
900=0.72621641249092*x       - we divide both sides of the equation by (0.72621641249092) to get x
900/0.72621641249092=x
1239.3=x
x=1239.3

now we have:
137.7% of 900=1239.3