155.7 is what percent of 5949 - 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 5949 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 5949, so we can write it down as 100%=5949.
4. We know, that x% equals 155.7 of the output value, so we can write it down as x%=155.7.
5. Now we have two simple equations:
1) 100%=5949
2) x%=155.7
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:
100%/x%=5949/155.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.7 is what percent of 5949

100%/x%=5949/155.7
(100/x)*x=(5949/155.7)*x       - we multiply both sides of the equation by x
100=38.208092485549*x       - we divide both sides of the equation by (38.208092485549) to get x
100/38.208092485549=x
2.6172465960666=x
x=2.6172465960666

now we have:
155.7 is 2.6172465960666% of 5949