157.08 is what percent of 1676.85 - 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 1676.85 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 1676.85, so we can write it down as 100%=1676.85.
4. We know, that x% equals 157.08 of the output value, so we can write it down as x%=157.08.
5. Now we have two simple equations:
1) 100%=1676.85
2) x%=157.08
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%=1676.85/157.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.08 is what percent of 1676.85

100%/x%=1676.85/157.08
(100/x)*x=(1676.85/157.08)*x       - we multiply both sides of the equation by x
100=10.67513368984*x       - we divide both sides of the equation by (10.67513368984) to get x
100/10.67513368984=x
9.3675641828428=x
x=9.3675641828428

now we have:
157.08 is 9.3675641828428% of 1676.85