2.61 is what percent of 179.4 - 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 179.4 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 179.4, so we can write it down as 100%=179.4.
4. We know, that x% equals 2.61 of the output value, so we can write it down as x%=2.61.
5. Now we have two simple equations:
1) 100%=179.4
2) x%=2.61
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%=179.4/2.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.61 is what percent of 179.4

100%/x%=179.4/2.61
(100/x)*x=(179.4/2.61)*x       - we multiply both sides of the equation by x
100=68.735632183908*x       - we divide both sides of the equation by (68.735632183908) to get x
100/68.735632183908=x
1.4548494983278=x
x=1.4548494983278

now we have:
2.61 is 1.4548494983278% of 179.4