1.76 is what percent of 61 - 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 61 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 61, so we can write it down as 100%=61.
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%=61
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%=61/1.76
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 61

100%/x%=61/1.76
(100/x)*x=(61/1.76)*x       - we multiply both sides of the equation by x
100=34.659090909091*x       - we divide both sides of the equation by (34.659090909091) to get x
100/34.659090909091=x
2.8852459016393=x
x=2.8852459016393

now we have:
1.76 is 2.8852459016393% of 61