1.76 is what percent of 120.83 - 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 120.83 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 120.83, so we can write it down as 100%=120.83.
4. We know, that x% equals 1.76 of the output value, so we can write it down as x%=1.76.
5. Now we have two simple equations:
1) 100%=120.83
2) x%=1.76
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%=120.83/1.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.76 is what percent of 120.83

100%/x%=120.83/1.76
(100/x)*x=(120.83/1.76)*x       - we multiply both sides of the equation by x
100=68.653409090909*x       - we divide both sides of the equation by (68.653409090909) to get x
100/68.653409090909=x
1.4565919059836=x
x=1.4565919059836

now we have:
1.76 is 1.4565919059836% of 120.83