167.34 is what percent of 1775.74 - 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 1775.74 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 1775.74, so we can write it down as 100%=1775.74.
4. We know, that x% equals 167.34 of the output value, so we can write it down as x%=167.34.
5. Now we have two simple equations:
1) 100%=1775.74
2) x%=167.34
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%=1775.74/167.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.34 is what percent of 1775.74

100%/x%=1775.74/167.34
(100/x)*x=(1775.74/167.34)*x       - we multiply both sides of the equation by x
100=10.611569260189*x       - we divide both sides of the equation by (10.611569260189) to get x
100/10.611569260189=x
9.4236768896347=x
x=9.4236768896347

now we have:
167.34 is 9.4236768896347% of 1775.74