5.62 is what percent of 179.9 - 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 179.9 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 179.9, so we can write it down as 100%=179.9.
4. We know, that x% equals 5.62 of the output value, so we can write it down as x%=5.62.
5. Now we have two simple equations:
1) 100%=179.9
2) x%=5.62
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%=179.9/5.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.62 is what percent of 179.9

100%/x%=179.9/5.62
(100/x)*x=(179.9/5.62)*x       - we multiply both sides of the equation by x
100=32.010676156584*x       - we divide both sides of the equation by (32.010676156584) to get x
100/32.010676156584=x
3.1239577543079=x
x=3.1239577543079

now we have:
5.62 is 3.1239577543079% of 179.9