1.77 is what percent of 380 - 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 380 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 380, so we can write it down as 100%=380.
4. We know, that x% equals 1.77 of the output value, so we can write it down as x%=1.77.
5. Now we have two simple equations:
1) 100%=380
2) x%=1.77
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%=380/1.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.77 is what percent of 380

100%/x%=380/1.77
(100/x)*x=(380/1.77)*x       - we multiply both sides of the equation by x
100=214.68926553672*x       - we divide both sides of the equation by (214.68926553672) to get x
100/214.68926553672=x
0.46578947368421=x
x=0.46578947368421

now we have:
1.77 is 0.46578947368421% of 380