177.42 is what percent of 1656 - 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 1656 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 1656, so we can write it down as 100%=1656.
4. We know, that x% equals 177.42 of the output value, so we can write it down as x%=177.42.
5. Now we have two simple equations:
1) 100%=1656
2) x%=177.42
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%=1656/177.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.42 is what percent of 1656

100%/x%=1656/177.42
(100/x)*x=(1656/177.42)*x       - we multiply both sides of the equation by x
100=9.3337842407846*x       - we divide both sides of the equation by (9.3337842407846) to get x
100/9.3337842407846=x
10.713768115942=x
x=10.713768115942

now we have:
177.42 is 10.713768115942% of 1656