736.96 is what percent of 1836.96 - 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 1836.96 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 1836.96, so we can write it down as 100%=1836.96.
4. We know, that x% equals 736.96 of the output value, so we can write it down as x%=736.96.
5. Now we have two simple equations:
1) 100%=1836.96
2) x%=736.96
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%=1836.96/736.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 736.96 is what percent of 1836.96

100%/x%=1836.96/736.96
(100/x)*x=(1836.96/736.96)*x       - we multiply both sides of the equation by x
100=2.4926183239253*x       - we divide both sides of the equation by (2.4926183239253) to get x
100/2.4926183239253=x
40.118456580437=x
x=40.118456580437

now we have:
736.96 is 40.118456580437% of 1836.96